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97769680 = 2451279623
BaseRepresentation
bin1011101001111…
…01100011010000
320210222012210021
411310331203100
5200012112210
613411313224
72265012541
oct564754320
9223865707
1097769680
1150208898
12288ab814
13173425a8
14cdb04c8
1588b3bda
hex5d3d8d0

97769680 has 40 divisors (see below), whose sum is σ = 229128192. Its totient is φ = 38795904.

The previous prime is 97769599. The next prime is 97769699. The reversal of 97769680 is 8696779.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5349 + ... + 14971.

Almost surely, 297769680 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 97769680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114564096).

97769680 is an abundant number, since it is smaller than the sum of its proper divisors (131358512).

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

97769680 is a wasteful number, since it uses less digits than its factorization.

97769680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9763 (or 9757 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 52.

The square root of 97769680 is about 9887.8551769330. The cubic root of 97769680 is about 460.6821636788.

The spelling of 97769680 in words is "ninety-seven million, seven hundred sixty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 1016 1270 2032 2540 5080 9623 10160 19246 38492 48115 76984 96230 153968 192460 384920 769840 1222121 2444242 4888484 6110605 9776968 12221210 19553936 24442420 48884840 97769680