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390554136 = 23347292969
BaseRepresentation
bin10111010001110…
…110001000011000
31000012220012120000
4113101312020120
51244440213021
6102430533000
712451440540
oct2721661030
91005805500
10390554136
11190504115
12aa967160
1362bb502b
1439c26320
1524449b26
hex17476218

390554136 has 160 divisors (see below), whose sum is σ = 1293732000. Its totient is φ = 107702784.

The previous prime is 390554123. The next prime is 390554137. The reversal of 390554136 is 631455093.

390554136 is a `hidden beast` number, since 3 + 90 + 554 + 13 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 390554136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390554137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 130060 + ... + 133028.

It is an arithmetic number, because the mean of its divisors is an integer number (8085825).

Almost surely, 2390554136 is an apocalyptic number.

390554136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390554136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646866000).

390554136 is an abundant number, since it is smaller than the sum of its proper divisors (903177864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

390554136 is a wasteful number, since it uses less digits than its factorization.

390554136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023 (or 3010 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 390554136 is about 19762.4425615864. The cubic root of 390554136 is about 730.9602275934.

The spelling of 390554136 in words is "three hundred ninety million, five hundred fifty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 54 56 58 63 72 81 84 87 108 116 126 162 168 174 189 203 216 232 252 261 324 348 378 406 504 522 567 609 648 696 756 783 812 1044 1134 1218 1512 1566 1624 1827 2088 2268 2349 2436 2969 3132 3654 4536 4698 4872 5481 5938 6264 7308 8907 9396 10962 11876 14616 16443 17814 18792 20783 21924 23752 26721 32886 35628 41566 43848 53442 62349 65772 71256 80163 83132 86101 106884 124698 131544 160326 166264 172202 187047 213768 240489 249396 258303 320652 344404 374094 480978 498792 516606 561141 602707 641304 688808 748188 774909 961956 1033212 1122282 1205414 1496376 1549818 1683423 1808121 1923912 2066424 2244564 2324727 2410828 3099636 3366846 3616242 4489128 4649454 4821656 5424363 6199272 6733692 6974181 7232484 9298908 10848726 13467384 13948362 14464968 16273089 18597816 21697452 27896724 32546178 43394904 48819267 55793448 65092356 97638534 130184712 195277068 390554136