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2059970720 = 25535935863
BaseRepresentation
bin111101011001000…
…1010100010100000
312022120012100120212
41322302022202200
513204323030340
6540224153252
7102022314353
oct17262124240
95276170525
102059970720
11967888545
12495a68828
1326aa13bb2
1415782a29a
15c0caba65
hex7ac8a8a0

2059970720 has 48 divisors (see below), whose sum is σ = 4880373120. Its totient is φ = 821670144.

The previous prime is 2059970713. The next prime is 2059970723. The reversal of 2059970720 is 270799502.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2059970723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39509 + ... + 75371.

It is an arithmetic number, because the mean of its divisors is an integer number (101674440).

Almost surely, 22059970720 is an apocalyptic number.

2059970720 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 2059970720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2440186560).

2059970720 is an abundant number, since it is smaller than the sum of its proper divisors (2820402400).

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

2059970720 is a wasteful number, since it uses less digits than its factorization.

2059970720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36237 (or 36229 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 41.

The square root of 2059970720 is about 45386.9003127554. The cubic root of 2059970720 is about 1272.3902985934.

It can be divided in two parts, 20599 and 70720, that added together give a palindrome (91319).

The spelling of 2059970720 in words is "two billion, fifty-nine million, nine hundred seventy thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 359 718 1436 1795 2872 3590 5744 7180 11488 14360 28720 35863 57440 71726 143452 179315 286904 358630 573808 717260 1147616 1434520 2869040 5738080 12874817 25749634 51499268 64374085 102998536 128748170 205997072 257496340 411994144 514992680 1029985360 2059970720