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97902960 = 24353113159
BaseRepresentation
bin1011101010111…
…10000101110000
320211012222121120
411311132011300
5200030343320
613414222240
72266106241
oct565360560
9224188546
1097902960
1150299a41
1228954980
131738b15c
14d006cc8
1588dd440
hex5d5e170

97902960 has 80 divisors (see below), whose sum is σ = 313313280. Its totient is φ = 25263360.

The previous prime is 97902941. The next prime is 97902977. The reversal of 97902960 is 6920979.

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, 861 + ... + 14019.

It is an arithmetic number, because the mean of its divisors is an integer number (3916416).

Almost surely, 297902960 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 97902960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156656640).

97902960 is an abundant number, since it is smaller than the sum of its proper divisors (215410320).

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

97902960 is a wasteful number, since it uses less digits than its factorization.

97902960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13206 (or 13200 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The square root of 97902960 is about 9894.5924625525. The cubic root of 97902960 is about 460.8914031887.

The spelling of 97902960 in words is "ninety-seven million, nine hundred two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 13159 26318 39477 52636 65795 78954 105272 131590 157908 197385 210544 263180 315816 394770 407929 526360 631632 789540 815858 1052720 1223787 1579080 1631716 2039645 2447574 3158160 3263432 4079290 4895148 6118935 6526864 8158580 9790296 12237870 16317160 19580592 24475740 32634320 48951480 97902960