Search a number
-
+
152775900 = 223252169751
BaseRepresentation
bin10010001101100…
…10110011011100
3101122110211010200
421012302303130
5303102312100
623054303500
73533400534
oct1106626334
9348424120
10152775900
1179268882
12431b7b90
1325861554
141640c4c4
15d62be00
hex91b2cdc

152775900 has 54 divisors (see below), whose sum is σ = 478870392. Its totient is φ = 40740000.

The previous prime is 152775893. The next prime is 152775901. The reversal of 152775900 is 9577251.

152775900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152775901) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 83976 + ... + 85775.

Almost surely, 2152775900 is an apocalyptic number.

152775900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152775900 is an abundant number, since it is smaller than the sum of its proper divisors (326094492).

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

152775900 is a wasteful number, since it uses less digits than its factorization.

152775900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169771 (or 169761 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 152775900 is about 12360.2548517415. The cubic root of 152775900 is about 534.5868647952.

The spelling of 152775900 in words is "one hundred fifty-two million, seven hundred seventy-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 169751 339502 509253 679004 848755 1018506 1527759 1697510 2037012 2546265 3055518 3395020 4243775 5092530 6111036 7638795 8487550 10185060 12731325 15277590 16975100 25462650 30555180 38193975 50925300 76387950 152775900