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2116608 = 21031353
BaseRepresentation
bin1000000100110000000000
310222112102220
420010300000
51020212413
6113211040
723663604
oct10046000
93875386
102116608
11121626a
12860a80
13591540
143d1504
152bc223
hex204c00

2116608 has 88 divisors (see below), whose sum is σ = 6190128. Its totient is φ = 638976.

The previous prime is 2116607. The next prime is 2116627. The reversal of 2116608 is 8066112.

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

It is not an unprimeable number, because it can be changed into a prime (2116601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39910 + ... + 39962.

22116608 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 2116608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095064).

2116608 is an abundant number, since it is smaller than the sum of its proper divisors (4073520).

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

2116608 is a wasteful number, since it uses less digits than its factorization.

2116608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2116608 is about 1454.8566939737. The cubic root of 2116608 is about 128.3946155097.

The spelling of 2116608 in words is "two million, one hundred sixteen thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 53 64 78 96 104 106 128 156 159 192 208 212 256 312 318 384 416 424 512 624 636 689 768 832 848 1024 1248 1272 1378 1536 1664 1696 2067 2496 2544 2756 3072 3328 3392 4134 4992 5088 5512 6656 6784 8268 9984 10176 11024 13312 13568 16536 19968 20352 22048 27136 33072 39936 40704 44096 54272 66144 81408 88192 132288 162816 176384 264576 352768 529152 705536 1058304 2116608