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152126316 = 22331408577
BaseRepresentation
bin10010001000101…
…00001101101100
3101121020211002000
421010110031230
5302421020231
623032332300
73525023646
oct1104241554
9347224060
10152126316
1178964831
1242b44090
1325694994
14162bd896
15d54e6e6
hex911436c

152126316 has 24 divisors (see below), whose sum is σ = 394401840. Its totient is φ = 50708736.

The previous prime is 152126311. The next prime is 152126329. The reversal of 152126316 is 613621251.

152126316 is a `hidden beast` number, since 1 + 5 + 21 + 2 + 631 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 152126316.

It is not an unprimeable number, because it can be changed into a prime (152126311) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 704181 + ... + 704396.

It is an arithmetic number, because the mean of its divisors is an integer number (16433410).

Almost surely, 2152126316 is an apocalyptic number.

It is an amenable number.

152126316 is an abundant number, since it is smaller than the sum of its proper divisors (242275524).

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

152126316 is a wasteful number, since it uses less digits than its factorization.

152126316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408590 (or 1408582 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 152126316 is about 12333.9497323445. The cubic root of 152126316 is about 533.8281229447.

Adding to 152126316 its reverse (613621251), we get a palindrome (765747567).

It can be divided in two parts, 15212 and 6316, that added together give a triangular number (21528 = T207).

The spelling of 152126316 in words is "one hundred fifty-two million, one hundred twenty-six thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1408577 2817154 4225731 5634308 8451462 12677193 16902924 25354386 38031579 50708772 76063158 152126316