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152120332 = 227134110193
BaseRepresentation
bin10010001000100…
…10110000001100
3101121020111212101
421010102300030
5302420322312
623032244444
73525000340
oct1104226014
9347214771
10152120332
1178960291
1242b40724
1325692040
14162bb620
15d54ca57
hex9112c0c

152120332 has 48 divisors (see below), whose sum is σ = 335668032. Its totient is φ = 58705920.

The previous prime is 152120299. The next prime is 152120333. The reversal of 152120332 is 233021251.

It is not an unprimeable number, because it can be changed into a prime (152120333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9828 + ... + 20020.

It is an arithmetic number, because the mean of its divisors is an integer number (6993084).

Almost surely, 2152120332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152120332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167834016).

152120332 is an abundant number, since it is smaller than the sum of its proper divisors (183547700).

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

152120332 is a wasteful number, since it uses less digits than its factorization.

152120332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10258 (or 10256 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 152120332 is about 12333.7071474881. The cubic root of 152120332 is about 533.8211233462.

Adding to 152120332 its reverse (233021251), we get a palindrome (385141583).

The spelling of 152120332 in words is "one hundred fifty-two million, one hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 41 52 82 91 164 182 287 364 533 574 1066 1148 2132 3731 7462 10193 14924 20386 40772 71351 132509 142702 265018 285404 417913 530036 835826 927563 1671652 1855126 2925391 3710252 5432869 5850782 10865738 11701564 21731476 38030083 76060166 152120332