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2113408 = 27111979
BaseRepresentation
bin1000000011111110000000
310222101001101
420003332000
51020112113
6113144144
723651353
oct10037600
93871041
102113408
111213920
1285b054
1358cc4b
143d029a
152bb2dd
hex203f80

2113408 has 64 divisors (see below), whose sum is σ = 4896000. Its totient is φ = 898560.

The previous prime is 2113399. The next prime is 2113417. The reversal of 2113408 is 8043112.

It is an interprime number because it is at equal distance from previous prime (2113399) and next prime (2113417).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

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, 26713 + ... + 26791.

It is an arithmetic number, because the mean of its divisors is an integer number (76500).

22113408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448000).

2113408 is an abundant number, since it is smaller than the sum of its proper divisors (2782592).

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

2113408 is a wasteful number, since it uses less digits than its factorization.

2113408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 2113408 is about 1453.7565133130. The cubic root of 2113408 is about 128.3298782826.

The spelling of 2113408 in words is "two million, one hundred thirteen thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 79 88 128 152 158 176 209 304 316 352 418 608 632 704 836 869 1216 1264 1408 1501 1672 1738 2432 2528 3002 3344 3476 5056 6004 6688 6952 10112 12008 13376 13904 16511 24016 26752 27808 33022 48032 55616 66044 96064 111232 132088 192128 264176 528352 1056704 2113408