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2058240 = 2113567
BaseRepresentation
bin111110110100000000000
310212120101010
413312200000
51011330430
6112040520
723331462
oct7664000
93776333
102058240
111186428
12833140
13570ac2
143b8132
152a9cb0
hex1f6800

2058240 has 96 divisors (see below), whose sum is σ = 6683040. Its totient is φ = 540672.

The previous prime is 2058239. The next prime is 2058253. The reversal of 2058240 is 428502.

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

It is a nialpdrome in base 8.

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, 30687 + ... + 30753.

It is an arithmetic number, because the mean of its divisors is an integer number (69615).

22058240 is an apocalyptic number.

2058240 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 2058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3341520).

2058240 is an abundant number, since it is smaller than the sum of its proper divisors (4624800).

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

2058240 is an equidigital number, since it uses as much as digits as its factorization.

2058240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2058240 is about 1434.6567533734. The cubic root of 2058240 is about 127.2033858519.

The spelling of 2058240 in words is "two million, fifty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 96 120 128 134 160 192 201 240 256 268 320 335 384 402 480 512 536 640 670 768 804 960 1005 1024 1072 1280 1340 1536 1608 1920 2010 2048 2144 2560 2680 3072 3216 3840 4020 4288 5120 5360 6144 6432 7680 8040 8576 10240 10720 12864 15360 16080 17152 21440 25728 30720 32160 34304 42880 51456 64320 68608 85760 102912 128640 137216 171520 205824 257280 343040 411648 514560 686080 1029120 2058240