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97140736 = 21472112
BaseRepresentation
bin1011100101001…
…00000000000000
320202210021001001
411302210000000
5144332000421
613350021344
72256453100
oct562440000
9222707031
1097140736
114a919300
1228647854
1317182234
14cc89200
1587dc691
hex5ca4000

97140736 has 135 divisors (see below), whose sum is σ = 248406627. Its totient is φ = 37847040.

The previous prime is 97140713. The next prime is 97140761. The reversal of 97140736 is 63704179.

The square root of 97140736 is 9856.

It is a perfect power (a square), and thus also a powerful number.

It is a junction number, because it is equal to n+sod(n) for n = 97140695 and 97140704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8830971 + ... + 8830981.

Almost surely, 297140736 is an apocalyptic number.

97140736 is the 9856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97140736

97140736 is an abundant number, since it is smaller than the sum of its proper divisors (151265891).

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

97140736 is an equidigital number, since it uses as much as digits as its factorization.

97140736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The cubic root of 97140736 is about 459.6921948368.

The spelling of 97140736 in words is "ninety-seven million, one hundred forty thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 121 128 154 176 196 224 242 256 308 352 392 448 484 512 539 616 704 784 847 896 968 1024 1078 1232 1408 1568 1694 1792 1936 2048 2156 2464 2816 3136 3388 3584 3872 4096 4312 4928 5632 5929 6272 6776 7168 7744 8192 8624 9856 11264 11858 12544 13552 14336 15488 16384 17248 19712 22528 23716 25088 27104 28672 30976 34496 39424 45056 47432 50176 54208 57344 61952 68992 78848 90112 94864 100352 108416 114688 123904 137984 157696 180224 189728 200704 216832 247808 275968 315392 379456 401408 433664 495616 551936 630784 758912 802816 867328 991232 1103872 1261568 1517824 1734656 1982464 2207744 3035648 3469312 4415488 6071296 6938624 8830976 12142592 13877248 24285184 48570368 97140736