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2125920 = 253543103
BaseRepresentation
bin1000000111000001100000
311000000012210
420013001200
51021012140
6113322120
724033006
oct10070140
94000183
102125920
111222265
12866340
13595854
143d4a76
152bed80
hex207060

2125920 has 96 divisors (see below), whose sum is σ = 6918912. Its totient is φ = 548352.

The previous prime is 2125919. The next prime is 2125927. The reversal of 2125920 is 295212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20589 + ... + 20691.

It is an arithmetic number, because the mean of its divisors is an integer number (72072).

22125920 is an apocalyptic number.

2125920 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 2125920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459456).

2125920 is an abundant number, since it is smaller than the sum of its proper divisors (4792992).

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

2125920 is a wasteful number, since it uses less digits than its factorization.

2125920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 2125920 is about 1458.0534969609. The cubic root of 2125920 is about 128.5826304173.

The spelling of 2125920 in words is "two million, one hundred twenty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 103 120 129 160 172 206 215 240 258 309 344 412 430 480 515 516 618 645 688 824 860 1030 1032 1236 1290 1376 1545 1648 1720 2060 2064 2472 2580 3090 3296 3440 4120 4128 4429 4944 5160 6180 6880 8240 8858 9888 10320 12360 13287 16480 17716 20640 22145 24720 26574 35432 44290 49440 53148 66435 70864 88580 106296 132870 141728 177160 212592 265740 354320 425184 531480 708640 1062960 2125920