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2136792 = 233722379
BaseRepresentation
bin1000001001101011011000
311000120010110
420021223120
51021334132
6113444320
724106500
oct10115330
94016113
102136792
11122a449
128706a0
1359a798
143d8a00
152c31cc
hex209ad8

2136792 has 96 divisors (see below), whose sum is σ = 6566400. Its totient is φ = 576576.

The previous prime is 2136779. The next prime is 2136793. The reversal of 2136792 is 2976312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136793) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27009 + ... + 27087.

It is an arithmetic number, because the mean of its divisors is an integer number (68400).

22136792 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 2136792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283200).

2136792 is an abundant number, since it is smaller than the sum of its proper divisors (4429608).

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

2136792 is a wasteful number, since it uses less digits than its factorization.

2136792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 114 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 2136792 is about 1461.7770007768. Note that the first 3 decimals coincide. The cubic root of 2136792 is about 128.8014492591.

The spelling of 2136792 in words is "two million, one hundred thirty-six thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 49 56 69 79 84 92 98 138 147 158 161 168 184 196 237 276 294 316 322 392 474 483 552 553 588 632 644 948 966 1106 1127 1176 1288 1659 1817 1896 1932 2212 2254 3318 3381 3634 3864 3871 4424 4508 5451 6636 6762 7268 7742 9016 10902 11613 12719 13272 13524 14536 15484 21804 23226 25438 27048 30968 38157 43608 46452 50876 76314 89033 92904 101752 152628 178066 267099 305256 356132 534198 712264 1068396 2136792