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396913920 = 2835137951
BaseRepresentation
bin10111101010000…
…110110100000000
31000122212022112120
4113222012310000
51303102221140
6103215124240
712556466304
oct2752066400
91018768476
10396913920
11194058337
12b0b13680
1364300a10
143a9ddd04
1524ca41d0
hex17a86d00

396913920 has 144 divisors (see below), whose sum is σ = 1365326592. Its totient is φ = 97689600.

The previous prime is 396913903. The next prime is 396913931. The reversal of 396913920 is 29319693.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45945 + ... + 53895.

Almost surely, 2396913920 is an apocalyptic number.

396913920 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 396913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682663296).

396913920 is an abundant number, since it is smaller than the sum of its proper divisors (968412672).

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

396913920 is a wasteful number, since it uses less digits than its factorization.

396913920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7988 (or 7974 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 42.

The square root of 396913920 is about 19922.6986123868. The cubic root of 396913920 is about 734.9065363130.

The spelling of 396913920 in words is "three hundred ninety-six million, nine hundred thirteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 520 624 640 768 780 832 960 1040 1248 1280 1560 1664 1920 2080 2496 3120 3328 3840 4160 4992 6240 7951 8320 9984 12480 15902 16640 23853 24960 31804 39755 47706 49920 63608 79510 95412 103363 119265 127216 159020 190824 206726 238530 254432 310089 318040 381648 413452 477060 508864 516815 620178 636080 763296 826904 954120 1017728 1033630 1240356 1272160 1526592 1550445 1653808 1908240 2035456 2067260 2480712 2544320 3053184 3100890 3307616 3816480 4134520 4961424 5088640 6106368 6201780 6615232 7632960 8269040 9922848 10177280 12403560 13230464 15265920 16538080 19845696 24807120 26460928 30531840 33076160 39691392 49614240 66152320 79382784 99228480 132304640 198456960 396913920