Search a number
-
+
97391616 = 210372647
BaseRepresentation
bin1011100111000…
…01010000000000
320210021000011220
411303201100000
5144413012431
613355235040
72261546400
oct563412000
9223230156
1097391616
114aa7a843
1228748a80
131723c49a
14cd12800
15883bb96
hex5ce1400

97391616 has 132 divisors (see below), whose sum is σ = 302431968. Its totient is φ = 27783168.

The previous prime is 97391611. The next prime is 97391627. The reversal of 97391616 is 61619379.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97391611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150205 + ... + 150851.

Almost surely, 297391616 is an apocalyptic number.

97391616 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97391616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151215984).

97391616 is an abundant number, since it is smaller than the sum of its proper divisors (205040352).

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

97391616 is a wasteful number, since it uses less digits than its factorization.

97391616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 659 counting only the distinct ones).

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

The square root of 97391616 is about 9868.7190658160. The cubic root of 97391616 is about 460.0875951649.

The spelling of 97391616 in words is "ninety-seven million, three hundred ninety-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 647 672 768 784 896 1024 1176 1294 1344 1536 1568 1792 1941 2352 2588 2688 3072 3136 3584 3882 4529 4704 5176 5376 6272 7168 7764 9058 9408 10352 10752 12544 13587 15528 18116 18816 20704 21504 25088 27174 31056 31703 36232 37632 41408 50176 54348 62112 63406 72464 75264 82816 95109 108696 124224 126812 144928 150528 165632 190218 217392 248448 253624 289856 331264 380436 434784 496896 507248 579712 662528 760872 869568 993792 1014496 1159424 1521744 1739136 1987584 2028992 2318848 3043488 3478272 4057984 4637696 6086976 6956544 8115968 12173952 13913088 16231936 24347904 32463872 48695808 97391616