Search a number
-
+
152869120 = 285119429
BaseRepresentation
bin10010001110010…
…01100100000000
3101122122120000021
421013021210000
5303113302440
623100303224
73534236365
oct1107114400
9348576007
10152869120
1179321918
1243241b14
1325894b01
141643446c
15d64984a
hex91c9900

152869120 has 36 divisors (see below), whose sum is σ = 366172380. Its totient is φ = 61147136.

The previous prime is 152869103. The next prime is 152869127. The reversal of 152869120 is 21968251.

152869120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 45373696 + 107495424 = 6736^2 + 10368^2 .

It is not an unprimeable number, because it can be changed into a prime (152869127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 58435 + ... + 60994.

It is an arithmetic number, because the mean of its divisors is an integer number (10171455).

Almost surely, 2152869120 is an apocalyptic number.

152869120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152869120 is an abundant number, since it is smaller than the sum of its proper divisors (213303260).

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

152869120 is an equidigital number, since it uses as much as digits as its factorization.

152869120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119450 (or 119436 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 152869120 is about 12364.0252345262. The cubic root of 152869120 is about 534.6955731606.

The spelling of 152869120 in words is "one hundred fifty-two million, eight hundred sixty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 119429 238858 477716 597145 955432 1194290 1910864 2388580 3821728 4777160 7643456 9554320 15286912 19108640 30573824 38217280 76434560 152869120