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97436136 = 23373371721
BaseRepresentation
bin1011100111011…
…00000111101000
320210100021020210
411303230013220
5144420424021
613400221120
72262123240
oct563540750
9223307223
1097436136
1150000236
122876a7a0
1317256825
14cd24b20
158849e76
hex5cec1e8

97436136 has 64 divisors (see below), whose sum is σ = 279377280. Its totient is φ = 27740160.

The previous prime is 97436117. The next prime is 97436137. The reversal of 97436136 is 63163479.

It is a super-2 number, since 2×974361362 = 18987601197220992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 97436094 and 97436103.

It is not an unprimeable number, because it can be changed into a prime (97436137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55756 + ... + 57476.

It is an arithmetic number, because the mean of its divisors is an integer number (4365270).

Almost surely, 297436136 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 97436136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139688640).

97436136 is an abundant number, since it is smaller than the sum of its proper divisors (181941144).

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

97436136 is a wasteful number, since it uses less digits than its factorization.

97436136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2070 counting only the distinct ones).

The product of its digits is 81648, while the sum is 39.

The square root of 97436136 is about 9870.9744199851. The cubic root of 97436136 is about 460.1576901083.

The spelling of 97436136 in words is "ninety-seven million, four hundred thirty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 337 674 1011 1348 1721 2022 2359 2696 3442 4044 4718 5163 6884 7077 8088 9436 10326 12047 13768 14154 18872 20652 24094 28308 36141 41304 48188 56616 72282 96376 144564 289128 579977 1159954 1739931 2319908 3479862 4059839 4639816 6959724 8119678 12179517 13919448 16239356 24359034 32478712 48718068 97436136