Search a number
-
+
142500924 = 22333121373
BaseRepresentation
bin10000111111001…
…10010000111100
3100221010210112000
420133212100330
5242440012144
622050142300
73350144406
oct1037462074
9327123460
10142500924
1173490065
123b881990
13236a4797
1414cd5b76
15c79c769
hex87e643c

142500924 has 72 divisors (see below), whose sum is σ = 382026960. Its totient is φ = 45934560.

The previous prime is 142500881. The next prime is 142500937. The reversal of 142500924 is 429005241.

142500924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103102 + ... + 104474.

It is an arithmetic number, because the mean of its divisors is an integer number (5305930).

Almost surely, 2142500924 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 142500924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191013480).

142500924 is an abundant number, since it is smaller than the sum of its proper divisors (239526036).

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

142500924 is a wasteful number, since it uses less digits than its factorization.

142500924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 142500924 is about 11937.3750883517. The cubic root of 142500924 is about 522.3230923572.

The spelling of 142500924 in words is "one hundred forty-two million, five hundred thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 961 1116 1373 1674 1922 2746 2883 3348 3844 4119 5492 5766 8238 8649 11532 12357 16476 17298 24714 25947 34596 37071 42563 49428 51894 74142 85126 103788 127689 148284 170252 255378 383067 510756 766134 1149201 1319453 1532268 2298402 2638906 3958359 4596804 5277812 7916718 11875077 15833436 23750154 35625231 47500308 71250462 142500924