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152505150 = 23527220749
BaseRepresentation
bin10010001011100…
…00101100111110
3101121222001201220
421011300230332
5303020131100
623044414210
73531162300
oct1105605476
9347861656
10152505150
11790a3416
12430a7366
1325798245
141637b970
15d5c6aa0
hex9170b3e

152505150 has 72 divisors (see below), whose sum is σ = 439983000. Its totient is φ = 34856640.

The previous prime is 152505131. The next prime is 152505179. The reversal of 152505150 is 51505251.

152505150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 152505150.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3025 + ... + 17724.

It is an arithmetic number, because the mean of its divisors is an integer number (6110875).

Almost surely, 2152505150 is an apocalyptic number.

152505150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152505150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219991500).

152505150 is an abundant number, since it is smaller than the sum of its proper divisors (287477850).

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

152505150 is a wasteful number, since it uses less digits than its factorization.

152505150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20778 (or 20766 counting only the distinct ones).

The product of its (nonzero) digits is 1250, while the sum is 24.

The square root of 152505150 is about 12349.2975508731. The cubic root of 152505150 is about 534.2708791358.

The spelling of 152505150 in words is "one hundred fifty-two million, five hundred five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 147 150 175 210 245 294 350 490 525 735 1050 1225 1470 2450 3675 7350 20749 41498 62247 103745 124494 145243 207490 290486 311235 435729 518725 622470 726215 871458 1016701 1037450 1452430 1556175 2033402 2178645 3050103 3112350 3631075 4357290 5083505 6100206 7262150 10167010 10893225 15250515 21786450 25417525 30501030 50835050 76252575 152505150