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15625064 = 237133127
BaseRepresentation
bin111011100110…
…101101101000
31002101211120002
4323212231220
513000000224
61314522132
7246545060
oct73465550
932354502
1015625064
118902384
125296348
133311000
14210a3a0
1515899ae
hexee6b68

15625064 has 64 divisors (see below), whose sum is σ = 36556800. Its totient is φ = 6132672.

The previous prime is 15625061. The next prime is 15625067. The reversal of 15625064 is 46052651.

It is an interprime number because it is at equal distance from previous prime (15625061) and next prime (15625067).

It is a sliding number, since 15625064 = 64 + 15625000 and 1/64 + 1/15625000 = 0.015625064.

It is a plaindrome in base 15.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (15625061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122969 + ... + 123095.

It is an arithmetic number, because the mean of its divisors is an integer number (571200).

Almost surely, 215625064 is an apocalyptic number.

15625064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15625064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18278400).

15625064 is an abundant number, since it is smaller than the sum of its proper divisors (20931736).

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

15625064 is a wasteful number, since it uses less digits than its factorization.

15625064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 15625064 is about 3952.8551706330. The cubic root of 15625064 is about 250.0003413329. Note that the first 3 decimals are identical.

It can be divided in two parts, 156250 and 64, that multiplied together give a 7-th power (10000000 = 107).

The spelling of 15625064 in words is "fifteen million, six hundred twenty-five thousand, sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 127 169 182 254 338 364 508 676 728 889 1016 1183 1352 1651 1778 2197 2366 3302 3556 4394 4732 6604 7112 8788 9464 11557 13208 15379 17576 21463 23114 30758 42926 46228 61516 85852 92456 123032 150241 171704 279019 300482 558038 600964 1116076 1201928 1953133 2232152 3906266 7812532 15625064