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2117960 = 235134073
BaseRepresentation
bin1000000101000101001000
310222121021222
420011011020
51020233320
6113221212
724000545
oct10050510
93877258
102117960
111217289
12861808
13592040
143d1bcc
152bc825
hex205148

2117960 has 32 divisors (see below), whose sum is σ = 5133240. Its totient is φ = 781824.

The previous prime is 2117953. The next prime is 2117971. The reversal of 2117960 is 697112.

It can be written as a sum of positive squares in 4 ways, for example, as 850084 + 1267876 = 922^2 + 1126^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1517 + ... + 2556.

22117960 is an apocalyptic number.

2117960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2117960 is an abundant number, since it is smaller than the sum of its proper divisors (3015280).

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

2117960 is a wasteful number, since it uses less digits than its factorization.

2117960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4097 (or 4093 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 2117960 is about 1455.3212703730. The cubic root of 2117960 is about 128.4219473810.

The spelling of 2117960 in words is "two million, one hundred seventeen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 4073 8146 16292 20365 32584 40730 52949 81460 105898 162920 211796 264745 423592 529490 1058980 2117960