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2136900 = 2235217419
BaseRepresentation
bin1000001001101101000100
311000120021110
420021231010
51021340100
6113445020
724110013
oct10115504
94016243
102136900
11122a537
12870770
1359a84c
143d8a7a
152c3250
hex209b44

2136900 has 72 divisors (see below), whose sum is σ = 6562080. Its totient is φ = 535040.

The previous prime is 2136889. The next prime is 2136913. The reversal of 2136900 is 96312.

It is a super-2 number, since 2×21369002 = 9132683220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4891 + ... + 5309.

It is an arithmetic number, because the mean of its divisors is an integer number (91140).

22136900 is an apocalyptic number.

2136900 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 2136900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281040).

2136900 is an abundant number, since it is smaller than the sum of its proper divisors (4425180).

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

2136900 is a wasteful number, since it uses less digits than its factorization.

2136900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 2136900 is about 1461.8139416492. The cubic root of 2136900 is about 128.8036192288.

The spelling of 2136900 in words is "two million, one hundred thirty-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 419 425 510 838 850 1020 1257 1275 1676 1700 2095 2514 2550 4190 5028 5100 6285 7123 8380 10475 12570 14246 20950 21369 25140 28492 31425 35615 41900 42738 62850 71230 85476 106845 125700 142460 178075 213690 356150 427380 534225 712300 1068450 2136900