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97492920 = 23357277419
BaseRepresentation
bin1011100111110…
…01111110111000
320210110011010220
411303321332320
5144424233140
613401340040
72262450630
oct563717670
9223404126
1097492920
1150039968
1228797620
1317276625
14cd3b6c0
15885bbd0
hex5cf9fb8

97492920 has 128 divisors (see below), whose sum is σ = 336268800. Its totient is φ = 22150656.

The previous prime is 97492919. The next prime is 97492931. The reversal of 97492920 is 2929479.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 232471 + ... + 232889.

It is an arithmetic number, because the mean of its divisors is an integer number (2627100).

Almost surely, 297492920 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 97492920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168134400).

97492920 is an abundant number, since it is smaller than the sum of its proper divisors (238775880).

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

97492920 is a wasteful number, since it uses less digits than its factorization.

97492920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 97492920 is about 9873.8503128212. The cubic root of 97492920 is about 460.2470632473.

The spelling of 97492920 in words is "ninety-seven million, four hundred ninety-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 277 280 419 420 554 831 838 840 1108 1257 1385 1662 1676 1939 2095 2216 2514 2770 2933 3324 3352 3878 4155 4190 5028 5540 5817 5866 6285 6648 7756 8310 8380 8799 9695 10056 11080 11634 11732 12570 14665 15512 16620 16760 17598 19390 23268 23464 25140 29085 29330 33240 35196 38780 43995 46536 50280 58170 58660 70392 77560 87990 116063 116340 117320 175980 232126 232680 348189 351960 464252 580315 696378 812441 928504 1160630 1392756 1624882 1740945 2321260 2437323 2785512 3249764 3481890 4062205 4642520 4874646 6499528 6963780 8124410 9749292 12186615 13927560 16248820 19498584 24373230 32497640 48746460 97492920