Search a number
-
+
152667414 = 23264713109
BaseRepresentation
bin10010001100110…
…00010100010110
3101122021022022200
421012120110112
5303040324124
623052105330
73532436334
oct1106302426
9348238280
10152667414
11791a4319
1243165246
1325824063
14163c0b54
15d609bc9
hex9198516

152667414 has 24 divisors (see below), whose sum is σ = 331315920. Its totient is φ = 50806608.

The previous prime is 152667391. The next prime is 152667443. The reversal of 152667414 is 414766251.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 5092 + ... + 18200.

It is an arithmetic number, because the mean of its divisors is an integer number (13804830).

Almost surely, 2152667414 is an apocalyptic number.

152667414 is an abundant number, since it is smaller than the sum of its proper divisors (178648506).

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

152667414 is a wasteful number, since it uses less digits than its factorization.

152667414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13764 (or 13761 counting only the distinct ones).

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

The square root of 152667414 is about 12355.8655706511. The cubic root of 152667414 is about 534.4602983156.

The spelling of 152667414 in words is "one hundred fifty-two million, six hundred sixty-seven thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 647 1294 1941 3882 5823 11646 13109 26218 39327 78654 117981 235962 8481523 16963046 25444569 50889138 76333707 152667414