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2872052700 = 22352112930011
BaseRepresentation
bin1010101100110000…
…0000101111011100
321102011021101122020
42223030000233130
521340221141300
61152554020140
7131113021326
oct25314005734
97364241566
102872052700
111244220780
12681a17650
1336a03718a
141d361c616
1511c21d8a0
hexab300bdc

2872052700 has 144 divisors (see below), whose sum is σ = 9378149760. Its totient is φ = 672224000.

The previous prime is 2872052699. The next prime is 2872052707. The reversal of 2872052700 is 72502782.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2872052707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80695 + ... + 110705.

It is an arithmetic number, because the mean of its divisors is an integer number (65126040).

Almost surely, 22872052700 is an apocalyptic number.

2872052700 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 2872052700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4689074880).

2872052700 is an abundant number, since it is smaller than the sum of its proper divisors (6506097060).

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

2872052700 is a wasteful number, since it uses less digits than its factorization.

2872052700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30068 (or 30061 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 2872052700 is about 53591.5357122746. The cubic root of 2872052700 is about 1421.4474264503.

The spelling of 2872052700 in words is "two billion, eight hundred seventy-two million, fifty-two thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 29 30 33 44 50 55 58 60 66 75 87 100 110 116 132 145 150 165 174 220 275 290 300 319 330 348 435 550 580 638 660 725 825 870 957 1100 1276 1450 1595 1650 1740 1914 2175 2900 3190 3300 3828 4350 4785 6380 7975 8700 9570 15950 19140 23925 30011 31900 47850 60022 90033 95700 120044 150055 180066 300110 330121 360132 450165 600220 660242 750275 870319 900330 990363 1320484 1500550 1650605 1740638 1800660 1980726 2250825 2610957 3001100 3301210 3481276 3961452 4351595 4501650 4951815 5221914 6602420 8253025 8703190 9003300 9573509 9903630 10443828 13054785 16506050 17406380 19147018 19807260 21757975 24759075 26109570 28720527 33012100 38294036 43515950 47867545 49518150 52219140 57441054 65273925 87031900 95735090 99036300 114882108 130547850 143602635 191470180 239337725 261095700 287205270 478675450 574410540 718013175 957350900 1436026350 2872052700