Search a number
-
+
152850100 = 225213117577
BaseRepresentation
bin10010001110001…
…00111010110100
3101122121120220211
421013010322310
5303112200400
623100035204
73534130054
oct1107047264
9348546824
10152850100
11793095a7
1243232b04
1325889260
141642b564
15d643dba
hex91c4eb4

152850100 has 36 divisors (see below), whose sum is σ = 357201964. Its totient is φ = 56436480.

The previous prime is 152850073. The next prime is 152850121. The reversal of 152850100 is 1058251.

It can be written as a sum of positive squares in 6 ways, for example, as 376996 + 152473104 = 614^2 + 12348^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57489 + ... + 60088.

Almost surely, 2152850100 is an apocalyptic number.

152850100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152850100 is an abundant number, since it is smaller than the sum of its proper divisors (204351864).

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

152850100 is a wasteful number, since it uses less digits than its factorization.

152850100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117604 (or 117597 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

The square root of 152850100 is about 12363.2560436157. The cubic root of 152850100 is about 534.6733966051.

The spelling of 152850100 in words is "one hundred fifty-two million, eight hundred fifty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 117577 235154 470308 587885 1175770 1528501 2351540 2939425 3057002 5878850 6114004 7642505 11757700 15285010 30570020 38212525 76425050 152850100