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2117928 = 2331729179
BaseRepresentation
bin1000000101000100101000
310222121020210
420011010220
51020233203
6113221120
724000501
oct10050450
93877223
102117928
11121725a
128617a0
13592017
143d1ba8
152bc803
hex205128

2117928 has 64 divisors (see below), whose sum is σ = 5832000. Its totient is φ = 637952.

The previous prime is 2117903. The next prime is 2117953. The reversal of 2117928 is 8297112.

It is an interprime number because it is at equal distance from previous prime (2117903) and next prime (2117953).

It is a junction number, because it is equal to n+sod(n) for n = 2117895 and 2117904.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11743 + ... + 11921.

It is an arithmetic number, because the mean of its divisors is an integer number (91125).

22117928 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 2117928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916000).

2117928 is an abundant number, since it is smaller than the sum of its proper divisors (3714072).

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

2117928 is a wasteful number, since it uses less digits than its factorization.

2117928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 230 counting only the distinct ones).

The product of its digits is 2016, while the sum is 30.

The square root of 2117928 is about 1455.3102761954. The cubic root of 2117928 is about 128.4213006073.

The spelling of 2117928 in words is "two million, one hundred seventeen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 29 34 51 58 68 87 102 116 136 174 179 204 232 348 358 408 493 537 696 716 986 1074 1432 1479 1972 2148 2958 3043 3944 4296 5191 5916 6086 9129 10382 11832 12172 15573 18258 20764 24344 31146 36516 41528 62292 73032 88247 124584 176494 264741 352988 529482 705976 1058964 2117928