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97096960 = 285312447
BaseRepresentation
bin1011100100110…
…01010100000000
320202201000222201
411302121110000
5144324100320
613345042544
72256211342
oct562312400
9222630881
1097096960
114a899424
1228626454
131716832c
14cc77292
1587ce70a
hex5c99500

97096960 has 72 divisors (see below), whose sum is σ = 240178176. Its totient is φ = 37570560.

The previous prime is 97096957. The next prime is 97096963. The reversal of 97096960 is 6969079.

It is an interprime number because it is at equal distance from previous prime (97096957) and next prime (97096963).

It is a self number, because there is not a number n which added to its sum of digits gives 97096960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97096963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38457 + ... + 40903.

It is an arithmetic number, because the mean of its divisors is an integer number (3335808).

Almost surely, 297096960 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 97096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120089088).

97096960 is an abundant number, since it is smaller than the sum of its proper divisors (143081216).

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

97096960 is a wasteful number, since it uses less digits than its factorization.

97096960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499 (or 2485 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 46.

The square root of 97096960 is about 9853.7789705270. The cubic root of 97096960 is about 459.6231317779.

The spelling of 97096960 in words is "ninety-seven million, ninety-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 256 310 320 496 620 640 992 1240 1280 1984 2447 2480 3968 4894 4960 7936 9788 9920 12235 19576 19840 24470 39152 39680 48940 75857 78304 97880 151714 156608 195760 303428 313216 379285 391520 606856 626432 758570 783040 1213712 1517140 1566080 2427424 3034280 3132160 4854848 6068560 9709696 12137120 19419392 24274240 48548480 97096960