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2107040 = 255131013
BaseRepresentation
bin1000000010011010100000
310222001022112
420002122200
51014411130
6113054452
723623655
oct10023240
93861275
102107040
11120a061
12857428
1358a090
143cbc2c
152b9495
hex2026a0

2107040 has 48 divisors (see below), whose sum is σ = 5366088. Its totient is φ = 777216.

The previous prime is 2107037. The next prime is 2107051. The reversal of 2107040 is 407012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 559504 + 1547536 = 748^2 + 1244^2 .

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, 1574 + ... + 2586.

22107040 is an apocalyptic number.

2107040 is a gapful number since it is divisible by the number (20) 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 2107040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683044).

2107040 is an abundant number, since it is smaller than the sum of its proper divisors (3259048).

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

2107040 is a wasteful number, since it uses less digits than its factorization.

2107040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 2107040 is about 1451.5646730339. The cubic root of 2107040 is about 128.2008565278.

The spelling of 2107040 in words is "two million, one hundred seven thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1013 1040 2026 2080 4052 5065 8104 10130 13169 16208 20260 26338 32416 40520 52676 65845 81040 105352 131690 162080 210704 263380 421408 526760 1053520 2107040