Search a number
-
+
152178312 = 2331121329139
BaseRepresentation
bin10010001001000…
…00111010001000
3101121100110101210
421010200322020
5302424201222
623033413120
73525331356
oct1104407210
9347313353
10152178312
117899a900
1242b6a1a0
13256b2550
14162d47d6
15d55ed0c
hex9120e88

152178312 has 192 divisors, whose sum is σ = 469224000. Its totient is φ = 40803840.

The previous prime is 152178311. The next prime is 152178359. The reversal of 152178312 is 213871251.

It is a self number, because there is not a number n which added to its sum of digits gives 152178312.

It is not an unprimeable number, because it can be changed into a prime (152178311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1094739 + ... + 1094877.

It is an arithmetic number, because the mean of its divisors is an integer number (2443875).

Almost surely, 2152178312 is an apocalyptic number.

152178312 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 152178312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234612000).

152178312 is an abundant number, since it is smaller than the sum of its proper divisors (317045688).

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

152178312 is a wasteful number, since it uses less digits than its factorization.

152178312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 197 counting only the distinct ones).

The product of its digits is 3360, while the sum is 30.

The square root of 152178312 is about 12336.0573928626. The cubic root of 152178312 is about 533.8889359279. Note that the first 3 decimals are identical.

The spelling of 152178312 in words is "one hundred fifty-two million, one hundred seventy-eight thousand, three hundred twelve".