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2013265920 = 22735
BaseRepresentation
bin111100000000000…
…0000000000000000
312012022022111122110
41320000000000000
513110344002140
6531435135320
7100614322641
oct17000000000
95168274573
102013265920
11943488536
124822a4540
13261140613
1415154d6c8
15bbb33380
hex78000000

2013265920 has 112 divisors (see below), whose sum is σ = 6442450920. Its totient is φ = 536870912.

The previous prime is 2013265907. The next prime is 2013265921. The reversal of 2013265920 is 295623102.

It is a Jordan-Polya number, since it can be written as 5! ⋅ (2!)24.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013265921) by changing a digit.

In principle, a polygon with 2013265920 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 402653182 + ... + 402653186.

Almost surely, 22013265920 is an apocalyptic number.

2013265920 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 2013265920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221225460).

2013265920 is an abundant number, since it is smaller than the sum of its proper divisors (4429185000).

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

2013265920 is an frugal number, since it uses more digits than its factorization.

2013265920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 2013265920 is about 44869.4319108232. The cubic root of 2013265920 is about 1262.7005820572.

Multiplying 2013265920 by its sum of digits (30), we get a square (60397977600 = 2457602).

2013265920 divided by its sum of digits (30) gives a 26-th power (67108864 = 226).

The spelling of 2013265920 in words is "two billion, thirteen million, two hundred sixty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 8192 10240 12288 15360 16384 20480 24576 30720 32768 40960 49152 61440 65536 81920 98304 122880 131072 163840 196608 245760 262144 327680 393216 491520 524288 655360 786432 983040 1048576 1310720 1572864 1966080 2097152 2621440 3145728 3932160 4194304 5242880 6291456 7864320 8388608 10485760 12582912 15728640 16777216 20971520 25165824 31457280 33554432 41943040 50331648 62914560 67108864 83886080 100663296 125829120 134217728 167772160 201326592 251658240 335544320 402653184 503316480 671088640 1006632960 2013265920