Search a number
-
+
152073684 = 22327603467
BaseRepresentation
bin10010001000001…
…11010111010100
3101121011010212200
421010013113110
5302412324214
623031244500
73524414340
oct1104072724
9347133780
10152073684
1178929234
1242b19730
1325676a39
14162a8620
15d53dd09
hex91075d4

152073684 has 36 divisors (see below), whose sum is σ = 439324704. Its totient is φ = 43449552.

The previous prime is 152073683. The next prime is 152073689. The reversal of 152073684 is 486370251.

152073684 is a `hidden beast` number, since 1 + 520 + 73 + 68 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152073683) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301482 + ... + 301985.

It is an arithmetic number, because the mean of its divisors is an integer number (12203464).

Almost surely, 2152073684 is an apocalyptic number.

152073684 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

152073684 is an abundant number, since it is smaller than the sum of its proper divisors (287251020).

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

152073684 is a wasteful number, since it uses less digits than its factorization.

152073684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603484 (or 603479 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 152073684 is about 12331.8159246722. The cubic root of 152073684 is about 533.7665520007.

The spelling of 152073684 in words is "one hundred fifty-two million, seventy-three thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 603467 1206934 1810401 2413868 3620802 4224269 5431203 7241604 8448538 10862406 12672807 16897076 21724812 25345614 38018421 50691228 76036842 152073684