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2157960 = 233572367
BaseRepresentation
bin1000001110110110001000
311001122011110
420032312020
51023023320
6114130320
724225300
oct10166610
94048143
102157960
111244342
128809a0
135a72cc
14402600
152c95e0
hex20ed88

2157960 has 96 divisors (see below), whose sum is σ = 7551360. Its totient is φ = 491904.

The previous prime is 2157923. The next prime is 2157989. The reversal of 2157960 is 697512.

It is a Cunningham number, because it is equal to 14692-1.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5697 + ... + 6063.

It is an arithmetic number, because the mean of its divisors is an integer number (78660).

22157960 is an apocalyptic number.

2157960 is a gapful number since it is divisible by the number (20) 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 2157960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3775680).

2157960 is an abundant number, since it is smaller than the sum of its proper divisors (5393400).

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

2157960 is a wasteful number, since it uses less digits than its factorization.

2157960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 2157960 is about 1468.9996596324. Note that the first 3 decimals coincide. The cubic root of 2157960 is about 129.2253737064.

The spelling of 2157960 in words is "two million, one hundred fifty-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 367 392 420 490 588 734 735 840 980 1101 1176 1468 1470 1835 1960 2202 2569 2936 2940 3670 4404 5138 5505 5880 7340 7707 8808 10276 11010 12845 14680 15414 17983 20552 22020 25690 30828 35966 38535 44040 51380 53949 61656 71932 77070 89915 102760 107898 143864 154140 179830 215796 269745 308280 359660 431592 539490 719320 1078980 2157960