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2130700 = 22521113149
BaseRepresentation
bin1000001000001100001100
311000020202211
420020030030
51021140300
6113400204
724052645
oct10101414
94006684
102130700
111225910
12869064
13597a90
143d66cc
152c14ba
hex20830c

2130700 has 72 divisors (see below), whose sum is σ = 5468400. Its totient is φ = 710400.

The previous prime is 2130683. The next prime is 2130701. The reversal of 2130700 is 70312.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (2130701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14226 + ... + 14374.

It is an arithmetic number, because the mean of its divisors is an integer number (75950).

22130700 is an apocalyptic number.

2130700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2130700 is the 1192-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734200).

2130700 is an abundant number, since it is smaller than the sum of its proper divisors (3337700).

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

2130700 is a wasteful number, since it uses less digits than its factorization.

2130700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 2130700 is about 1459.6917482811. The cubic root of 2130700 is about 128.6789283180.

The spelling of 2130700 in words is "two million, one hundred thirty thousand, seven hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 149 220 260 275 286 298 325 550 572 596 650 715 745 1100 1300 1430 1490 1639 1937 2860 2980 3278 3575 3725 3874 6556 7150 7450 7748 8195 9685 14300 14900 16390 19370 21307 32780 38740 40975 42614 48425 81950 85228 96850 106535 163900 193700 213070 426140 532675 1065350 2130700