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12500064 = 253243403
BaseRepresentation
bin101111101011…
…110001100000
3212112001212100
4233223301200
511200000224
61123530400
7211151223
oct57536140
925461770
1012500064
117068535
124229a00
1327887b5
1419355ba
15116dac9
hexbebc60

12500064 has 36 divisors (see below), whose sum is σ = 35547876. Its totient is φ = 4166592.

The previous prime is 12500029. The next prime is 12500069. The reversal of 12500064 is 46000521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12500069) 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, 21414 + ... + 21989.

It is an arithmetic number, because the mean of its divisors is an integer number (987441).

Almost surely, 212500064 is an apocalyptic number.

It is an amenable number.

12500064 is an abundant number, since it is smaller than the sum of its proper divisors (23047812).

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

12500064 is a wasteful number, since it uses less digits than its factorization.

12500064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43419 (or 43408 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12500064 is about 3535.5429568880. The cubic root of 12500064 is about 232.0798377622.

Adding to 12500064 its reverse (46000521), we get a palindrome (58500585).

It can be divided in two parts, 125000 and 64, that multiplied together give a cube (8000000 = 2003).

The spelling of 12500064 in words is "twelve million, five hundred thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 43403 86806 130209 173612 260418 347224 390627 520836 694448 781254 1041672 1388896 1562508 2083344 3125016 4166688 6250032 12500064