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97689680 = 24511313581
BaseRepresentation
bin1011101001010…
…10000001010000
320210211011001022
411310222001100
5200002032210
613405455012
72264230364
oct564520120
9223734038
1097689680
1150163780
1228871468
131731505a
14cd8d2a4
15889a155
hex5d2a050

97689680 has 80 divisors (see below), whose sum is σ = 255840768. Its totient is φ = 34368000.

The previous prime is 97689673. The next prime is 97689703. The reversal of 97689680 is 8698679.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25490 + ... + 29070.

Almost surely, 297689680 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 97689680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127920384).

97689680 is an abundant number, since it is smaller than the sum of its proper divisors (158151088).

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

97689680 is a wasteful number, since it uses less digits than its factorization.

97689680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3636 (or 3630 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 53.

The square root of 97689680 is about 9883.8089823711. The cubic root of 97689680 is about 460.5564783956.

The spelling of 97689680 in words is "ninety-seven million, six hundred eighty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 110 124 155 176 220 248 310 341 440 496 620 682 880 1240 1364 1705 2480 2728 3410 3581 5456 6820 7162 13640 14324 17905 27280 28648 35810 39391 57296 71620 78782 111011 143240 157564 196955 222022 286480 315128 393910 444044 555055 630256 787820 888088 1110110 1221121 1575640 1776176 2220220 2442242 3151280 4440440 4884484 6105605 8880880 9768968 12211210 19537936 24422420 48844840 97689680