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2152764 = 223331643
BaseRepresentation
bin1000001101100100111100
311001101001000
420031210330
51022342024
6114050300
724204165
oct10154474
94041030
102152764
111240449
12879990
135a4b33
1440076c
152c7cc9
hex20d93c

2152764 has 48 divisors (see below), whose sum is σ = 5770240. Its totient is φ = 693360.

The previous prime is 2152753. The next prime is 2152783. The reversal of 2152764 is 4672512.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3027 + ... + 3669.

22152764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2152764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2885120).

2152764 is an abundant number, since it is smaller than the sum of its proper divisors (3617476).

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

2152764 is a wasteful number, since it uses less digits than its factorization.

2152764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 679 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 2152764 is about 1467.2300433129. The cubic root of 2152764 is about 129.1215727894.

It can be divided in two parts, 2152 and 764, that added together give a square (2916 = 542).

The spelling of 2152764 in words is "two million, one hundred fifty-two thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 643 837 1116 1286 1674 1929 2572 3348 3858 5787 7716 11574 17361 19933 23148 34722 39866 59799 69444 79732 119598 179397 239196 358794 538191 717588 1076382 2152764