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20086464 = 263233449
BaseRepresentation
bin100110010011…
…1111011000000
31101210111110010
41030213323000
520120231324
61554304520
7332506056
oct114477300
941714403
1020086464
111037a292
126888140
1342138a8
14294c1d6
151b6b829
hex1327ec0

20086464 has 56 divisors (see below), whose sum is σ = 53492400. Its totient is φ = 6651904.

The previous prime is 20086457. The next prime is 20086471. The reversal of 20086464 is 46468002.

It is an interprime number because it is at equal distance from previous prime (20086457) and next prime (20086471).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44512 + ... + 44960.

Almost surely, 220086464 is an apocalyptic number.

20086464 is a gapful number since it is divisible by the number (24) 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 20086464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26746200).

20086464 is an abundant number, since it is smaller than the sum of its proper divisors (33405936).

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

20086464 is a wasteful number, since it uses less digits than its factorization.

20086464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 20086464 is about 4481.7924985434. The cubic root of 20086464 is about 271.8323649883.

The spelling of 20086464 in words is "twenty million, eighty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 233 449 466 699 898 932 1347 1398 1796 1864 2694 2796 3592 3728 5388 5592 7184 7456 10776 11184 14368 14912 21552 22368 28736 43104 44736 86208 104617 209234 313851 418468 627702 836936 1255404 1673872 2510808 3347744 5021616 6695488 10043232 20086464