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13332480 = 21235731
BaseRepresentation
bin110010110111…
…000000000000
3221002100201120
4302313000000
511403114410
61153432240
7221216130
oct62670000
927070646
1013332480
117586987
12456b680
1329ba655
141ab0ac0
151285570
hexcb7000

13332480 has 208 divisors, whose sum is σ = 50325504. Its totient is φ = 2949120.

The previous prime is 13332439. The next prime is 13332481. The reversal of 13332480 is 8423331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 13332480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13332481) 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, 430065 + ... + 430095.

Almost surely, 213332480 is an apocalyptic number.

13332480 is a gapful number since it is divisible by the number (10) 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 13332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25162752).

13332480 is an abundant number, since it is smaller than the sum of its proper divisors (36993024).

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

13332480 is an equidigital number, since it uses as much as digits as its factorization.

13332480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 13332480 is about 3651.3668673526. The cubic root of 13332480 is about 237.1211614987.

The spelling of 13332480 in words is "thirteen million, three hundred thirty-two thousand, four hundred eighty".