Search a number
-
+
2137464 = 233274241
BaseRepresentation
bin1000001001110101111000
311000121001100
420021311320
51021344324
6113451400
724111450
oct10116570
94017040
102137464
11122a9aa
12870b60
1359ab94
143d8d60
152c34c9
hex209d78

2137464 has 48 divisors (see below), whose sum is σ = 6617520. Its totient is φ = 610560.

The previous prime is 2137451. The next prime is 2137483. The reversal of 2137464 is 4647312.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1617 + ... + 2624.

It is an arithmetic number, because the mean of its divisors is an integer number (137865).

22137464 is an apocalyptic number.

2137464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2137464 is an abundant number, since it is smaller than the sum of its proper divisors (4480056).

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

2137464 is a wasteful number, since it uses less digits than its factorization.

2137464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4260 (or 4253 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 2137464 is about 1462.0068399293. The cubic root of 2137464 is about 128.8149501055.

It can be divided in two parts, 2137 and 464, that added together give a square (2601 = 512).

The spelling of 2137464 in words is "two million, one hundred thirty-seven thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 4241 8482 12723 16964 25446 29687 33928 38169 50892 59374 76338 89061 101784 118748 152676 178122 237496 267183 305352 356244 534366 712488 1068732 2137464