Search a number
-
+
97680912 = 2437317349
BaseRepresentation
bin1011101001001…
…11111000010000
320210210201000120
411310213320100
5200001242122
613405350240
72264163000
oct564477020
9223721016
1097680912
115015812a
1228868380
1317311074
14cd8a000
15889775c
hex5d27e10

97680912 has 160 divisors (see below), whose sum is σ = 312480000. Its totient is φ = 26191872.

The previous prime is 97680911. The next prime is 97680923. The reversal of 97680912 is 21908679.

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

It is not an unprimeable number, because it can be changed into a prime (97680911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279714 + ... + 280062.

It is an arithmetic number, because the mean of its divisors is an integer number (1953000).

Almost surely, 297680912 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 97680912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156240000).

97680912 is an abundant number, since it is smaller than the sum of its proper divisors (214799088).

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

97680912 is a wasteful number, since it uses less digits than its factorization.

97680912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 97680912 is about 9883.3654187225. The cubic root of 97680912 is about 460.5426991168.

The spelling of 97680912 in words is "ninety-seven million, six hundred eighty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 49 51 56 68 84 98 102 112 119 136 147 168 196 204 238 272 294 336 343 349 357 392 408 476 588 686 698 714 784 816 833 952 1029 1047 1176 1372 1396 1428 1666 1904 2058 2094 2352 2443 2499 2744 2792 2856 3332 4116 4188 4886 4998 5488 5584 5712 5831 5933 6664 7329 8232 8376 9772 9996 11662 11866 13328 14658 16464 16752 17101 17493 17799 19544 19992 23324 23732 29316 34202 34986 35598 39088 39984 41531 46648 47464 51303 58632 68404 69972 71196 83062 93296 94928 102606 117264 119707 124593 136808 139944 142392 166124 205212 239414 249186 273616 279888 284784 290717 332248 359121 410424 478828 498372 581434 664496 718242 820848 872151 957656 996744 1162868 1436484 1744302 1915312 1993488 2035019 2325736 2872968 3488604 4070038 4651472 5745936 6105057 6977208 8140076 12210114 13954416 16280152 24420228 32560304 48840456 97680912