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2137104 = 24341797
BaseRepresentation
bin1000001001110000010000
311000120120000
420021300100
51021341404
6113450000
724110424
oct10116020
94016500
102137104
11122a702
12870900
1359a978
143d8b84
152c3339
hex209c10

2137104 has 100 divisors (see below), whose sum is σ = 6616764. Its totient is φ = 663552.

The previous prime is 2137073. The next prime is 2137117. The reversal of 2137104 is 4017312.

It can be written as a sum of positive squares in 2 ways, for example, as 1327104 + 810000 = 1152^2 + 900^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21984 + ... + 22080.

22137104 is an apocalyptic number.

2137104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2137104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3308382).

2137104 is an abundant number, since it is smaller than the sum of its proper divisors (4479660).

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

2137104 is a wasteful number, since it uses less digits than its factorization.

2137104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2137104 is about 1461.8837163058. The cubic root of 2137104 is about 128.8077178612.

The spelling of 2137104 in words is "two million, one hundred thirty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 97 102 108 136 144 153 162 194 204 216 272 291 306 324 388 408 432 459 582 612 648 776 816 873 918 1164 1224 1296 1377 1552 1649 1746 1836 2328 2448 2619 2754 3298 3492 3672 4656 4947 5238 5508 6596 6984 7344 7857 9894 10476 11016 13192 13968 14841 15714 19788 20952 22032 26384 29682 31428 39576 41904 44523 59364 62856 79152 89046 118728 125712 133569 178092 237456 267138 356184 534276 712368 1068552 2137104