[go: up one dir, main page]

Search a number
-
+
102901372 = 2273179419
BaseRepresentation
bin1100010001000…
…10011001111100
321011121221010221
412020202121330
5202320320442
614113311124
72356435000
oct610423174
9234557127
10102901372
11530a3362
122a5654a4
131841b2b2
14d948700
159079467
hex622267c

102901372 has 48 divisors (see below), whose sum is σ = 211680000. Its totient is φ = 43749552.

The previous prime is 102901297. The next prime is 102901373. The reversal of 102901372 is 273109201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102901373) 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, 245379 + ... + 245797.

It is an arithmetic number, because the mean of its divisors is an integer number (4410000).

Almost surely, 2102901372 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 102901372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105840000).

102901372 is an abundant number, since it is smaller than the sum of its proper divisors (108778628).

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

102901372 is a wasteful number, since it uses less digits than its factorization.

102901372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 102901372 is about 10144.0313485320. The cubic root of 102901372 is about 468.6051477286.

The spelling of 102901372 in words is "one hundred two million, nine hundred one thousand, three hundred seventy-two".

Divisors: 1 2 4 7 14 28 49 98 179 196 343 358 419 686 716 838 1253 1372 1676 2506 2933 5012 5866 8771 11732 17542 20531 35084 41062 61397 75001 82124 122794 143717 150002 245588 287434 300004 525007 574868 1050014 2100028 3675049 7350098 14700196 25725343 51450686 102901372