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2090880 = 27335112
BaseRepresentation
bin111111110011110000000
310221020011000
413332132000
51013402010
6112452000
723525601
oct7763600
93836130
102090880
1111a8a00
1284a000
1358290c
143c5da8
152b47c0
hex1fe780

2090880 has 192 divisors, whose sum is σ = 8139600. Its totient is φ = 506880.

The previous prime is 2090873. The next prime is 2090923. The reversal of 2090880 is 880902.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

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, 190075 + ... + 190085.

22090880 is an apocalyptic number.

2090880 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 2090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4069800).

2090880 is an abundant number, since it is smaller than the sum of its proper divisors (6048720).

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

2090880 is a wasteful number, since it uses less digits than its factorization.

2090880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2090880 is about 1445.9875518136. The cubic root of 2090880 is about 127.8722684120.

The spelling of 2090880 in words is "two million, ninety thousand, eight hundred eighty".