Search a number
-
+
142490952 = 233212715583
BaseRepresentation
bin10000111111000…
…11110101001000
3100221010021211200
420133203311020
5242434202302
622050024200
73350103342
oct1037436510
9327107750
10142490952
117348361a
123b878060
13236a0096
1414cd2292
15c79981c
hex87e3d48

142490952 has 48 divisors (see below), whose sum is σ = 388976640. Its totient is φ = 47119968.

The previous prime is 142490941. The next prime is 142490989. The reversal of 142490952 is 259094241.

142490952 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1353 + ... + 16935.

It is an arithmetic number, because the mean of its divisors is an integer number (8103680).

Almost surely, 2142490952 is an apocalyptic number.

142490952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142490952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194488320).

142490952 is an abundant number, since it is smaller than the sum of its proper divisors (246485688).

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

142490952 is a wasteful number, since it uses less digits than its factorization.

142490952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15722 (or 15715 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 142490952 is about 11936.9574012811. The cubic root of 142490952 is about 522.3109082786.

The spelling of 142490952 in words is "one hundred forty-two million, four hundred ninety thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 381 508 762 1016 1143 1524 2286 3048 4572 9144 15583 31166 46749 62332 93498 124664 140247 186996 280494 373992 560988 1121976 1979041 3958082 5937123 7916164 11874246 15832328 17811369 23748492 35622738 47496984 71245476 142490952