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100274272 = 257449997
BaseRepresentation
bin1011111101000…
…01000001100000
320222200110102221
411332201001200
5201132234042
613541120424
72325213550
oct576410140
9228613387
10100274272
11516695aa
12296b9114
1317a0b5b7
14d463160
158c0ad67
hex5fa1060

100274272 has 48 divisors (see below), whose sum is σ = 226346400. Its totient is φ = 42835968.

The previous prime is 100274263. The next prime is 100274287. The reversal of 100274272 is 272472001.

It is a congruent number.

It is an unprimeable number.

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, 100078 + ... + 101074.

It is an arithmetic number, because the mean of its divisors is an integer number (4715550).

Almost surely, 2100274272 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 100274272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113173200).

100274272 is an abundant number, since it is smaller than the sum of its proper divisors (126072128).

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

100274272 is an equidigital number, since it uses as much as digits as its factorization.

100274272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 25.

The square root of 100274272 is about 10013.7042097318. The cubic root of 100274272 is about 464.5828486087.

The spelling of 100274272 in words is "one hundred million, two hundred seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 449 898 997 1796 1994 3143 3592 3988 6286 6979 7184 7976 12572 13958 14368 15952 25144 27916 31904 50288 55832 100576 111664 223328 447653 895306 1790612 3133571 3581224 6267142 7162448 12534284 14324896 25068568 50137136 100274272