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97131104 = 2571992179
BaseRepresentation
bin1011100101000…
…01101001100000
320202202202211022
411302201221200
5144331143404
613345505012
72256413030
oct562415140
9222682738
1097131104
114a912044
1228642168
131717aa35
14cc858c0
1587d98be
hex5ca1a60

97131104 has 48 divisors (see below), whose sum is σ = 219744000. Its totient is φ = 41399424.

The previous prime is 97131103. The next prime is 97131119. The reversal of 97131104 is 40113179.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97131101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43487 + ... + 45665.

It is an arithmetic number, because the mean of its divisors is an integer number (4578000).

Almost surely, 297131104 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 97131104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109872000).

97131104 is an abundant number, since it is smaller than the sum of its proper divisors (122612896).

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

97131104 is a wasteful number, since it uses less digits than its factorization.

97131104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 97131104 is about 9855.5113515231. The cubic root of 97131104 is about 459.6770007251.

The spelling of 97131104 in words is "ninety-seven million, one hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 199 224 398 796 1393 1592 2179 2786 3184 4358 5572 6368 8716 11144 15253 17432 22288 30506 34864 44576 61012 69728 122024 244048 433621 488096 867242 1734484 3035347 3468968 6070694 6937936 12141388 13875872 24282776 48565552 97131104