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2100010608 = 2432432291481
BaseRepresentation
bin111110100101011…
…1001111001110000
312102100112120222200
41331022321321300
513300100314413
6544214303200
7103016536623
oct17512717160
95370476880
102100010608
11988446063
124a7357b00
132760c2937
1415cc8ddba
15c456a573
hex7d2b9e70

2100010608 has 120 divisors (see below), whose sum is σ = 6044129520. Its totient is φ = 680279040.

The previous prime is 2100010603. The next prime is 2100010609. The reversal of 2100010608 is 8060100012.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100010603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1417228 + ... + 1418708.

It is an arithmetic number, because the mean of its divisors is an integer number (50367746).

Almost surely, 22100010608 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 2100010608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022064760).

2100010608 is an abundant number, since it is smaller than the sum of its proper divisors (3944118912).

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

2100010608 is a wasteful number, since it uses less digits than its factorization.

2100010608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2100010608 is about 45825.8726921812. The cubic root of 2100010608 is about 1280.5813212353.

The spelling of 2100010608 in words is "two billion, one hundred million, ten thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 229 258 344 387 458 516 687 688 774 916 1032 1374 1481 1548 1832 2061 2064 2748 2962 3096 3664 4122 4443 5496 5924 6192 8244 8886 9847 10992 11848 13329 16488 17772 19694 23696 26658 29541 32976 35544 39388 53316 59082 63683 71088 78776 88623 106632 118164 127366 157552 177246 191049 213264 236328 254732 339149 354492 382098 472656 509464 573147 678298 708984 764196 1017447 1018928 1146294 1356596 1417968 1528392 2034894 2292588 2713192 3052341 3056784 4069788 4585176 5426384 6104682 8139576 9170352 12209364 14583407 16279152 24418728 29166814 43750221 48837456 58333628 87500442 116667256 131250663 175000884 233334512 262501326 350001768 525002652 700003536 1050005304 2100010608