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2114960 = 24526437
BaseRepresentation
bin1000000100010110010000
310222110011212
420010112100
51020134320
6113155252
723656031
oct10042620
93873155
102114960
111215001
1285bb28
13590873
143d0a88
152bb9c5
hex204590

2114960 has 20 divisors (see below), whose sum is σ = 4917468. Its totient is φ = 845952.

The previous prime is 2114951. The next prime is 2114963. The reversal of 2114960 is 694112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1290496 + 824464 = 1136^2 + 908^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (2114963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13139 + ... + 13298.

22114960 is an apocalyptic number.

2114960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114960 is an abundant number, since it is smaller than the sum of its proper divisors (2802508).

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

2114960 is a wasteful number, since it uses less digits than its factorization.

2114960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26450 (or 26444 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 2114960 is about 1454.2902048766. The cubic root of 2114960 is about 128.3612839927.

The spelling of 2114960 in words is "two million, one hundred fourteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 26437 52874 105748 132185 211496 264370 422992 528740 1057480 2114960