Search a number
-
+
100472142 = 231723113379
BaseRepresentation
bin1011111110100…
…01010101001110
321000001111212110
411333101111032
5201210102032
613545244450
72326666461
oct577212516
9230044773
10100472142
1151794231
1229793726
1317a7a694
14d4b52d8
158c497cc
hex5fd154e

100472142 has 64 divisors (see below), whose sum is σ = 224570880. Its totient is φ = 29804544.

The previous prime is 100472111. The next prime is 100472143. The reversal of 100472142 is 241274001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100472143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264909 + ... + 265287.

It is an arithmetic number, because the mean of its divisors is an integer number (3508920).

Almost surely, 2100472142 is an apocalyptic number.

100472142 is an abundant number, since it is smaller than the sum of its proper divisors (124098738).

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

100472142 is a wasteful number, since it uses less digits than its factorization.

100472142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537.

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 100472142 is about 10023.5793008286. The cubic root of 100472142 is about 464.8882330524. Note that the first 3 decimals are identical.

The spelling of 100472142 in words is "one hundred million, four hundred seventy-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 17 23 34 46 51 69 102 113 138 226 339 379 391 678 758 782 1137 1173 1921 2274 2346 2599 3842 5198 5763 6443 7797 8717 11526 12886 15594 17434 19329 26151 38658 42827 44183 52302 85654 88366 128481 132549 148189 256962 265098 296378 444567 728059 889134 985021 1456118 1970042 2184177 2955063 4368354 5910126 16745357 33490714 50236071 100472142