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2100621072 = 2431114926701
BaseRepresentation
bin111110100110100…
…1110111100010000
312102101200121101110
41331031032330100
513300224333242
6544235333320
7103024661454
oct17515167420
95371617343
102100621072
11988822780
124a75b1240
13276277764
1415cdac664
15c463b39c
hex7d34ef10

2100621072 has 80 divisors (see below), whose sum is σ = 5959886400. Its totient is φ = 632256000.

The previous prime is 2100621043. The next prime is 2100621097. The reversal of 2100621072 is 2701260012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65322 + ... + 92022.

It is an arithmetic number, because the mean of its divisors is an integer number (74498580).

Almost surely, 22100621072 is an apocalyptic number.

2100621072 is a gapful number since it is divisible by the number (22) 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 2100621072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2979943200).

2100621072 is an abundant number, since it is smaller than the sum of its proper divisors (3859265328).

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

2100621072 is a wasteful number, since it uses less digits than its factorization.

2100621072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26872 (or 26866 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 2100621072 is about 45832.5328996773. The cubic root of 2100621072 is about 1280.7053956970.

Adding to 2100621072 its reverse (2701260012), we get a palindrome (4801881084).

The spelling of 2100621072 in words is "two billion, one hundred million, six hundred twenty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 149 176 264 298 447 528 596 894 1192 1639 1788 2384 3278 3576 4917 6556 7152 9834 13112 19668 26224 26701 39336 53402 78672 80103 106804 160206 213608 293711 320412 427216 587422 640824 881133 1174844 1281648 1762266 2349688 3524532 3978449 4699376 7049064 7956898 11935347 14098128 15913796 23870694 31827592 43762939 47741388 63655184 87525878 95482776 131288817 175051756 190965552 262577634 350103512 525155268 700207024 1050310536 2100621072