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152427260 = 225434212
BaseRepresentation
bin10010001010111…
…01101011111100
3101121211002220002
421011131223330
5303010133020
623043013432
73530416226
oct1105355374
9347732802
10152427260
117904a947
124306a278
132576b95b
141635b416
15d5ad975
hex915dafc

152427260 has 36 divisors (see below), whose sum is σ = 328321224. Its totient is φ = 59411520.

The previous prime is 152427257. The next prime is 152427263. The reversal of 152427260 is 62724251.

It is a happy number.

152427260 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (152427257) and next prime (152427263).

It is a super-2 number, since 2×1524272602 = 46468139182215200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152427263) 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, 361850 + ... + 362270.

It is an arithmetic number, because the mean of its divisors is an integer number (9120034).

Almost surely, 2152427260 is an apocalyptic number.

152427260 is a gapful number since it is divisible by the number (10) 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 152427260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164160612).

152427260 is an abundant number, since it is smaller than the sum of its proper divisors (175893964).

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

152427260 is an equidigital number, since it uses as much as digits as its factorization.

152427260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 152427260 is about 12346.1435274340. The cubic root of 152427260 is about 534.1799063710.

The spelling of 152427260 in words is "one hundred fifty-two million, four hundred twenty-seven thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 43 86 172 215 421 430 842 860 1684 2105 4210 8420 18103 36206 72412 90515 177241 181030 354482 362060 708964 886205 1772410 3544820 7621363 15242726 30485452 38106815 76213630 152427260