Search a number
-
+
97680368 = 24171941461
BaseRepresentation
bin1011101001001…
…11101111110000
320210210200021102
411310213233300
5200001232433
613405343532
72264161262
oct564475760
9223720242
1097680368
1150157785
1228867ba8
1317310a46
14cd89b32
1588974e8
hex5d27bf0

97680368 has 80 divisors (see below), whose sum is σ = 216548640. Its totient is φ = 42393600.

The previous prime is 97680367. The next prime is 97680371. The reversal of 97680368 is 86308679.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97680367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211658 + ... + 212118.

It is an arithmetic number, because the mean of its divisors is an integer number (2706858).

Almost surely, 297680368 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 97680368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108274320).

97680368 is an abundant number, since it is smaller than the sum of its proper divisors (118868272).

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

97680368 is a wasteful number, since it uses less digits than its factorization.

97680368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 97680368 is about 9883.3378976943. The cubic root of 97680368 is about 460.5418441709.

The spelling of 97680368 in words is "ninety-seven million, six hundred eighty thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 17 19 34 38 41 68 76 82 136 152 164 272 304 323 328 461 646 656 697 779 922 1292 1394 1558 1844 2584 2788 3116 3688 5168 5576 6232 7376 7837 8759 11152 12464 13243 15674 17518 18901 26486 31348 35036 37802 52972 62696 70072 75604 105944 125392 140144 148903 151208 211888 297806 302416 321317 359119 595612 642634 718238 1191224 1285268 1436476 2382448 2570536 2872952 5141072 5745904 6105023 12210046 24420092 48840184 97680368