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2131956 = 223259221
BaseRepresentation
bin1000001000011111110100
311000022111100
420020133310
51021210311
6113410100
724056421
oct10103764
94008440
102131956
111226852
12869930
13598518
143d6d48
152c1a56
hex2087f4

2131956 has 18 divisors (see below), whose sum is σ = 5389202. Its totient is φ = 710640.

The previous prime is 2131951. The next prime is 2131979. The reversal of 2131956 is 6591312.

It can be written as a sum of positive squares in only one way, i.e., 1664100 + 467856 = 1290^2 + 684^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131951) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29575 + ... + 29646.

22131956 is an apocalyptic number.

It is an amenable number.

2131956 is an abundant number, since it is smaller than the sum of its proper divisors (3257246).

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

2131956 is a wasteful number, since it uses less digits than its factorization.

2131956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59231 (or 59226 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 2131956 is about 1460.1219127182. The cubic root of 2131956 is about 128.7042078016.

The spelling of 2131956 in words is "two million, one hundred thirty-one thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 59221 118442 177663 236884 355326 532989 710652 1065978 2131956