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2058320 = 245112339
BaseRepresentation
bin111110110100001010000
310212120111002
413312201100
51011331240
6112041132
723331635
oct7664120
93776432
102058320
1111864a0
128331a8
13570b54
143b818c
152a9d15
hex1f6850

2058320 has 40 divisors (see below), whose sum is σ = 5222880. Its totient is φ = 748160.

The previous prime is 2058311. The next prime is 2058341. The reversal of 2058320 is 238502.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a junction number, because it is equal to n+sod(n) for n = 2058292 and 2058301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 290 + ... + 2049.

It is an arithmetic number, because the mean of its divisors is an integer number (130572).

22058320 is an apocalyptic number.

2058320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2058320 is an abundant number, since it is smaller than the sum of its proper divisors (3164560).

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

2058320 is a wasteful number, since it uses less digits than its factorization.

2058320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2058320 is about 1434.6846343361. The cubic root of 2058320 is about 127.2050338844.

It can be divided in two parts, 20 and 58320, that multiplied together give a square (1166400 = 10802).

The spelling of 2058320 in words is "two million, fifty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 2339 4678 9356 11695 18712 23390 25729 37424 46780 51458 93560 102916 128645 187120 205832 257290 411664 514580 1029160 2058320