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102470464 = 2637109397
BaseRepresentation
bin1100001101110…
…01001101000000
321010211001001101
412012321031000
5202213023324
614100144144
72352661465
oct606711500
9233731041
10102470464
1152929638
122a398054
13182ca115
14d87566c
158ee1944
hex61b9340

102470464 has 56 divisors (see below), whose sum is σ = 211282280. Its totient is φ = 49268736.

The previous prime is 102470461. The next prime is 102470471. The reversal of 102470464 is 464074201.

It can be written as a sum of positive squares in 4 ways, for example, as 53582400 + 48888064 = 7320^2 + 6992^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102470461) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 257914 + ... + 258310.

Almost surely, 2102470464 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 102470464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105641140).

102470464 is an abundant number, since it is smaller than the sum of its proper divisors (108811816).

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

102470464 is a wasteful number, since it uses less digits than its factorization.

102470464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 102470464 is about 10122.7695814930. The cubic root of 102470464 is about 467.9501249599.

The spelling of 102470464 in words is "one hundred two million, four hundred seventy thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 37 64 74 109 148 218 296 397 436 592 794 872 1184 1588 1744 2368 3176 3488 4033 6352 6976 8066 12704 14689 16132 25408 29378 32264 43273 58756 64528 86546 117512 129056 173092 235024 258112 346184 470048 692368 940096 1384736 1601101 2769472 3202202 6404404 12808808 25617616 51235232 102470464