Search a number
-
+
102574404 = 22331039221
BaseRepresentation
bin1100001110100…
…10100101000100
321011000022122000
412013102211010
5202224340104
614102305300
72353603512
oct607224504
9234008560
10102574404
115299a739
122a428230
131833551a
14d8a14b2
159012639
hex61d2944

102574404 has 48 divisors (see below), whose sum is σ = 268544640. Its totient is φ = 33855840.

The previous prime is 102574361. The next prime is 102574427. The reversal of 102574404 is 404475201.

102574404 is a `hidden beast` number, since 1 + 0 + 257 + 4 + 404 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6514 + ... + 15734.

It is an arithmetic number, because the mean of its divisors is an integer number (5594680).

Almost surely, 2102574404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102574404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134272320).

102574404 is an abundant number, since it is smaller than the sum of its proper divisors (165970236).

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

102574404 is a wasteful number, since it uses less digits than its factorization.

102574404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9337 (or 9329 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 102574404 is about 10127.9022507131. The cubic root of 102574404 is about 468.1082918369.

The spelling of 102574404 in words is "one hundred two million, five hundred seventy-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 103 108 206 309 412 618 927 1236 1854 2781 3708 5562 9221 11124 18442 27663 36884 55326 82989 110652 165978 248967 331956 497934 949763 995868 1899526 2849289 3799052 5698578 8547867 11397156 17095734 25643601 34191468 51287202 102574404