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152412 = 22313977
BaseRepresentation
bin100101001101011100
321202001220
4211031130
514334122
63133340
71203231
oct451534
9252056
10152412
11a4567
1274250
13544b0
143d788
153025c
hex2535c

152412 has 24 divisors (see below), whose sum is σ = 383376. Its totient is φ = 46848.

The previous prime is 152407. The next prime is 152417. The reversal of 152412 is 214251.

152412 is digitally balanced in base 2, 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 (152407) and next prime (152417).

It is a junction number, because it is equal to n+sod(n) for n = 152391 and 152400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152417) by changing a digit.

152412 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 333 + ... + 644.

It is an arithmetic number, because the mean of its divisors is an integer number (15974).

2152412 is an apocalyptic number.

152412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152412 is an abundant number, since it is smaller than the sum of its proper divisors (230964).

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

152412 is a wasteful number, since it uses less digits than its factorization.

152412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 995 counting only the distinct ones).

The product of its digits is 80, while the sum is 15.

The square root of 152412 is about 390.3997950819. The cubic root of 152412 is about 53.4162079600.

Adding to 152412 its reverse (214251), we get a palindrome (366663).

The spelling of 152412 in words is "one hundred fifty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 977 1954 2931 3908 5862 11724 12701 25402 38103 50804 76206 152412