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97393920 = 2835131951
BaseRepresentation
bin1011100111000…
…01110100000000
320210021010100020
411303201310000
5144413101140
613355253440
72261556201
oct563416400
9223233306
1097393920
114aa81548
122874a280
1317240550
14cd135a8
15883c6d0
hex5ce1d00

97393920 has 144 divisors (see below), whose sum is σ = 335150592. Its totient is φ = 23961600.

The previous prime is 97393903. The next prime is 97393921. The reversal of 97393920 is 2939379.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97393921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48945 + ... + 50895.

Almost surely, 297393920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167575296).

97393920 is an abundant number, since it is smaller than the sum of its proper divisors (237756672).

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

97393920 is a wasteful number, since it uses less digits than its factorization.

97393920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 42.

The square root of 97393920 is about 9868.8357976004. The cubic root of 97393920 is about 460.0912232440.

The spelling of 97393920 in words is "ninety-seven million, three hundred ninety-three 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 1951 2080 2496 3120 3328 3840 3902 4160 4992 5853 6240 7804 8320 9755 9984 11706 12480 15608 16640 19510 23412 24960 25363 29265 31216 39020 46824 49920 50726 58530 62432 76089 78040 93648 101452 117060 124864 126815 152178 156080 187296 202904 234120 249728 253630 304356 312160 374592 380445 405808 468240 499456 507260 608712 624320 749184 760890 811616 936480 1014520 1217424 1248640 1498368 1521780 1623232 1872960 2029040 2434848 2497280 3043560 3246464 3745920 4058080 4869696 6087120 6492928 7491840 8116160 9739392 12174240 16232320 19478784 24348480 32464640 48696960 97393920