Search a number
-
+
102197312 = 2671491531
BaseRepresentation
bin1100001011101…
…10100001000000
321010022011100122
412011312201000
5202130303222
614050235412
72350443230
oct605664100
9233264318
10102197312
1152762398
122a285b68
13182329a9
14d803cc0
158e8aa42
hex6176840

102197312 has 56 divisors (see below), whose sum is σ = 233476800. Its totient is φ = 43476480.

The previous prime is 102197309. The next prime is 102197351. The reversal of 102197312 is 213791201.

It is a tau number, because it is divible by the number of its divisors (56).

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, 65987 + ... + 67517.

Almost surely, 2102197312 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 102197312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116738400).

102197312 is an abundant number, since it is smaller than the sum of its proper divisors (131279488).

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

102197312 is a wasteful number, since it uses less digits than its factorization.

102197312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1689 counting only the distinct ones).

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

The square root of 102197312 is about 10109.2686184511. The cubic root of 102197312 is about 467.5339554202.

The spelling of 102197312 in words is "one hundred two million, one hundred ninety-seven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 149 224 298 448 596 1043 1192 1531 2086 2384 3062 4172 4768 6124 8344 9536 10717 12248 16688 21434 24496 33376 42868 48992 66752 85736 97984 171472 228119 342944 456238 685888 912476 1596833 1824952 3193666 3649904 6387332 7299808 12774664 14599616 25549328 51098656 102197312