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2153790 = 23452659
BaseRepresentation
bin1000001101110100111110
311001102110000
420031310332
51022410130
6114055130
724210162
oct10156476
94042400
102153790
1112411a1
1287a4a6
135a5442
14400ca2
152c8260
hex20dd3e

2153790 has 40 divisors (see below), whose sum is σ = 5793480. Its totient is φ = 574128.

The previous prime is 2153779. The next prime is 2153797. The reversal of 2153790 is 973512.

It is a super-2 number, since 2×21537902 = 9277622728200, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153797) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 520 + ... + 2139.

It is an arithmetic number, because the mean of its divisors is an integer number (144837).

22153790 is an apocalyptic number.

2153790 is an abundant number, since it is smaller than the sum of its proper divisors (3639690).

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

2153790 is a wasteful number, since it uses less digits than its factorization.

2153790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2678 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 2153790 is about 1467.5796400877. The cubic root of 2153790 is about 129.1420824989.

It can be divided in two parts, 215 and 3790, that added together give a triangular number (4005 = T89).

The spelling of 2153790 in words is "two million, one hundred fifty-three thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 2659 5318 7977 13295 15954 23931 26590 39885 47862 71793 79770 119655 143586 215379 239310 358965 430758 717930 1076895 2153790