Search a number
-
+
101674152 = 23321412141
BaseRepresentation
bin1100000111101…
…10110010101000
321002022120201100
412003312302220
5202012033102
614031121400
72343134046
oct603666250
9232276640
10101674152
1152435328
122a073260
13180ab828
14d709396
158dd5a1c
hex60f6ca8

101674152 has 24 divisors (see below), whose sum is σ = 275367690. Its totient is φ = 33891360.

The previous prime is 101674151. The next prime is 101674159. The reversal of 101674152 is 251476101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 100520676 + 1153476 = 10026^2 + 1074^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (101674151) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 705999 + ... + 706142.

Almost surely, 2101674152 is an apocalyptic number.

101674152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101674152 is an abundant number, since it is smaller than the sum of its proper divisors (173693538).

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

101674152 is a wasteful number, since it uses less digits than its factorization.

101674152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412153 (or 1412146 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 101674152 is about 10083.3601542343. The cubic root of 101674152 is about 466.7348032030.

The spelling of 101674152 in words is "one hundred one million, six hundred seventy-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1412141 2824282 4236423 5648564 8472846 11297128 12709269 16945692 25418538 33891384 50837076 101674152