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2120688 = 24334909
BaseRepresentation
bin1000000101101111110000
310222202001000
420011233300
51020330223
6113242000
724011523
oct10055760
93882030
102120688
111219339
12863300
1359335b
143d2bba
152bd543
hex205bf0

2120688 has 40 divisors (see below), whose sum is σ = 6088400. Its totient is φ = 706752.

The previous prime is 2120653. The next prime is 2120693. The reversal of 2120688 is 8860212.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

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, 2023 + ... + 2886.

It is an arithmetic number, because the mean of its divisors is an integer number (152210).

22120688 is an apocalyptic number.

It is an amenable number.

2120688 is an abundant number, since it is smaller than the sum of its proper divisors (3967712).

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

2120688 is a wasteful number, since it uses less digits than its factorization.

2120688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4926 (or 4914 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2120688 is about 1456.2582188609. The cubic root of 2120688 is about 128.4770609126.

The spelling of 2120688 in words is "two million, one hundred twenty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 4909 9818 14727 19636 29454 39272 44181 58908 78544 88362 117816 132543 176724 235632 265086 353448 530172 706896 1060344 2120688