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18920416 = 253119073
BaseRepresentation
bin100100000101…
…1001111100000
31022121020221011
41020023033200
514320423131
61513310304
7316551364
oct110131740
938536834
1018920416
11a753209
126405394
133bc5c18
1427272a4
1519db0b1
hex120b3e0

18920416 has 24 divisors (see below), whose sum is σ = 38453184. Its totient is φ = 9154560.

The previous prime is 18920413. The next prime is 18920449. The reversal of 18920416 is 61402981.

It is a happy number.

It is a super-2 number, since 2×189204162 = 715964283226112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18920413) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8545 + ... + 10528.

It is an arithmetic number, because the mean of its divisors is an integer number (1602216).

Almost surely, 218920416 is an apocalyptic number.

18920416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

18920416 is an abundant number, since it is smaller than the sum of its proper divisors (19532768).

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

18920416 is a wasteful number, since it uses less digits than its factorization.

18920416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19114 (or 19106 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 18920416 is about 4349.7604531744. The cubic root of 18920416 is about 266.4670784321.

The spelling of 18920416 in words is "eighteen million, nine hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 19073 38146 76292 152584 305168 591263 610336 1182526 2365052 4730104 9460208 18920416