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396097620 = 223517253431
BaseRepresentation
bin10111100110111…
…111100001010100
31000121022211210020
4113212333201110
51302400110440
6103145425140
712546526362
oct2746774124
91017284706
10396097620
11193650006
12b079b1b0
13640a62b9
143a86a632
1524b923d0
hex179bf854

396097620 has 144 divisors (see below), whose sum is σ = 1203164928. Its totient is φ = 97310720.

The previous prime is 396097609. The next prime is 396097627. The reversal of 396097620 is 26790693.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396097627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 918805 + ... + 919235.

It is an arithmetic number, because the mean of its divisors is an integer number (8355312).

Almost surely, 2396097620 is an apocalyptic number.

396097620 is a gapful number since it is divisible by the number (30) 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 396097620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601582464).

396097620 is an abundant number, since it is smaller than the sum of its proper divisors (807067308).

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

396097620 is a wasteful number, since it uses less digits than its factorization.

396097620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 396097620 is about 19902.2013857764. The cubic root of 396097620 is about 734.4023833942.

The spelling of 396097620 in words is "three hundred ninety-six million, ninety-seven thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 53 60 68 85 102 106 159 170 204 212 255 265 289 318 340 431 510 530 578 636 795 862 867 901 1020 1060 1156 1293 1445 1590 1724 1734 1802 2155 2586 2703 2890 3180 3468 3604 4310 4335 4505 5172 5406 5780 6465 7327 8620 8670 9010 10812 12930 13515 14654 15317 17340 18020 21981 22843 25860 27030 29308 30634 36635 43962 45686 45951 54060 61268 68529 73270 76585 87924 91372 91902 109905 114215 124559 137058 146540 153170 183804 219810 228430 229755 249118 274116 306340 342645 373677 388331 439620 456860 459510 498236 622795 685290 747354 776662 919020 1164993 1245590 1370580 1494708 1553324 1868385 1941655 2329986 2491180 3736770 3883310 4659972 5824965 6601627 7473540 7766620 11649930 13203254 19804881 23299860 26406508 33008135 39609762 66016270 79219524 99024405 132032540 198048810 396097620