Search a number
-
+
152196096 = 21031337103
BaseRepresentation
bin10010001001001…
…01010000000000
3101121101100210110
421010211100000
5302430233341
623034031320
73525434253
oct1104452000
9347340713
10152196096
1178a021a8
1242b78540
13256ba680
14162db09a
15d565216
hex9125400

152196096 has 176 divisors, whose sum is σ = 453025664. Its totient is φ = 45121536.

The previous prime is 152196047. The next prime is 152196101. The reversal of 152196096 is 690691251.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1477581 + ... + 1477683.

Almost surely, 2152196096 is an apocalyptic number.

152196096 is a gapful number since it is divisible by the number (16) 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 152196096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226512832).

152196096 is an abundant number, since it is smaller than the sum of its proper divisors (300829568).

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

152196096 is a wasteful number, since it uses less digits than its factorization.

152196096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 39.

The square root of 152196096 is about 12336.7781855718. The cubic root of 152196096 is about 533.9097323889.

The spelling of 152196096 in words is "one hundred fifty-two million, one hundred ninety-six thousand, ninety-six".