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102350144 = 2613123017
BaseRepresentation
bin1100001100110…
…11110101000000
321010120221000002
412012123311000
5202200201034
614053415132
72351650631
oct606336500
9233527002
10102350144
11528571a6
122a33a4a8
1318287420
14d843888
158ebae7e
hex619bd40

102350144 has 28 divisors (see below), whose sum is σ = 218726004. Its totient is φ = 47238144.

The previous prime is 102350141. The next prime is 102350153. The reversal of 102350144 is 441053201.

It can be written as a sum of positive squares in 2 ways, for example, as 37063744 + 65286400 = 6088^2 + 8080^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102350141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60677 + ... + 62340.

It is an arithmetic number, because the mean of its divisors is an integer number (7811643).

Almost surely, 2102350144 is an apocalyptic number.

It is an amenable number.

102350144 is an abundant number, since it is smaller than the sum of its proper divisors (116375860).

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

102350144 is a wasteful number, since it uses less digits than its factorization.

102350144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123042 (or 123032 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 102350144 is about 10116.8247983248. The cubic root of 102350144 is about 467.7668987945.

The spelling of 102350144 in words is "one hundred two million, three hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 123017 246034 492068 984136 1599221 1968272 3198442 3936544 6396884 7873088 12793768 25587536 51175072 102350144