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2158968 = 233771181
BaseRepresentation
bin1000001111000101111000
311001200112210
420033011320
51023041333
6114135120
724231240
oct10170570
94050483
102158968
111245079
128814a0
135a78c6
14402b20
152c9a63
hex20f178

2158968 has 64 divisors (see below), whose sum is σ = 6289920. Its totient is φ = 604800.

The previous prime is 2158931. The next prime is 2158979. The reversal of 2158968 is 8698512.

It is a super-2 number, since 2×21589682 = 9322285650048, which contains 22 as substring.

It is a congruent number.

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, 11838 + ... + 12018.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

22158968 is an apocalyptic number.

2158968 is a gapful number since it is divisible by the number (28) 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 2158968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144960).

2158968 is an abundant number, since it is smaller than the sum of its proper divisors (4130952).

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

2158968 is a wasteful number, since it uses less digits than its factorization.

2158968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 264 counting only the distinct ones).

The product of its digits is 34560, while the sum is 39.

The square root of 2158968 is about 1469.3427101939. The cubic root of 2158968 is about 129.2454913020.

The spelling of 2158968 in words is "two million, one hundred fifty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 84 142 168 181 213 284 362 426 497 543 568 724 852 994 1086 1267 1448 1491 1704 1988 2172 2534 2982 3801 3976 4344 5068 5964 7602 10136 11928 12851 15204 25702 30408 38553 51404 77106 89957 102808 154212 179914 269871 308424 359828 539742 719656 1079484 2158968