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2100700608 = 263172922193
BaseRepresentation
bin111110100110110…
…0010010111000000
312102101211122111020
41331031202113000
513300234404413
6544241145440
7103025442366
oct17515422700
95371748436
102100700608
11988877506
124a762b280
132762a4a16
1415cdcd636
15c4654c23
hex7d3625c0

2100700608 has 112 divisors (see below), whose sum is σ = 6088258080. Its totient is φ = 636289024.

The previous prime is 2100700603. The next prime is 2100700619. The reversal of 2100700608 is 8060070012.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100700603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83560 + ... + 105752.

Almost surely, 22100700608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100700608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3044129040).

2100700608 is an abundant number, since it is smaller than the sum of its proper divisors (3987557472).

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

2100700608 is a wasteful number, since it uses less digits than its factorization.

2100700608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22254 (or 22244 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 2100700608 is about 45833.4005720719. The cubic root of 2100700608 is about 1280.7215593133.

The spelling of 2100700608 in words is "two billion, one hundred million, seven hundred thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 64 68 87 96 102 116 136 174 192 204 232 272 348 408 464 493 544 696 816 928 986 1088 1392 1479 1632 1856 1972 2784 2958 3264 3944 5568 5916 7888 11832 15776 22193 23664 31552 44386 47328 66579 88772 94656 133158 177544 266316 355088 377281 532632 643597 710176 754562 1065264 1131843 1287194 1420352 1509124 1930791 2130528 2263686 2574388 3018248 3861582 4261056 4527372 5148776 6036496 7723164 9054744 10297552 10941149 12072992 15446328 18109488 20595104 21882298 24145984 30892656 32823447 36218976 41190208 43764596 61785312 65646894 72437952 87529192 123570624 131293788 175058384 262587576 350116768 525175152 700233536 1050350304 2100700608