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2120960 = 2851657
BaseRepresentation
bin1000000101110100000000
310222202102002
420011310000
51020332320
6113243132
724012362
oct10056400
93882362
102120960
111219566
128634a8
1359350a
143d2d32
152bd675
hex205d00

2120960 has 36 divisors (see below), whose sum is σ = 5083428. Its totient is φ = 847872.

The previous prime is 2120957. The next prime is 2120977. The reversal of 2120960 is 690212.

It can be written as a sum of positive squares in 2 ways, for example, as 719104 + 1401856 = 848^2 + 1184^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 452 + ... + 2108.

22120960 is an apocalyptic number.

2120960 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 2120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541714).

2120960 is an abundant number, since it is smaller than the sum of its proper divisors (2962468).

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

2120960 is an equidigital number, since it uses as much as digits as its factorization.

2120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 2120960 is about 1456.3516058974. The cubic root of 2120960 is about 128.4825535116.

The spelling of 2120960 in words is "two million, one hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 1657 3314 6628 8285 13256 16570 26512 33140 53024 66280 106048 132560 212096 265120 424192 530240 1060480 2120960