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390999096 = 233373137181
BaseRepresentation
bin10111010011100…
…010110000111000
31000020201210221000
4113103202300320
51300043432341
6102444245000
712455303025
oct2723426070
91006653830
10390999096
11190788454
12aab40760
136300c717
1439d0054c
15244d68b6
hex174e2c38

390999096 has 128 divisors (see below), whose sum is σ = 1115150400. Its totient is φ = 126904320.

The previous prime is 390999067. The next prime is 390999121. The reversal of 390999096 is 690999093.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2160126 + ... + 2160306.

Almost surely, 2390999096 is an apocalyptic number.

390999096 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 390999096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557575200).

390999096 is an abundant number, since it is smaller than the sum of its proper divisors (724151304).

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

390999096 is a wasteful number, since it uses less digits than its factorization.

390999096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 1062882, while the sum is 54.

The square root of 390999096 is about 19773.6970746494. The cubic root of 390999096 is about 731.2377176109.

The spelling of 390999096 in words is "three hundred ninety million, nine hundred ninety-nine thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 108 137 146 181 216 219 274 292 362 411 438 543 548 584 657 724 822 876 1086 1096 1233 1314 1448 1629 1644 1752 1971 2172 2466 2628 3258 3288 3699 3942 4344 4887 4932 5256 6516 7398 7884 9774 9864 10001 13032 13213 14796 15768 19548 20002 24797 26426 29592 30003 39096 39639 40004 49594 52852 60006 74391 79278 80008 90009 99188 105704 118917 120012 148782 158556 180018 198376 223173 237834 240024 270027 297564 317112 356751 360036 446346 475668 540054 595128 669519 713502 720072 892692 951336 1080108 1339038 1427004 1785384 1810181 2160216 2678076 2854008 3620362 5356152 5430543 7240724 10861086 14481448 16291629 21722172 32583258 43444344 48874887 65166516 97749774 130333032 195499548 390999096