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2130568608 = 253724111047
BaseRepresentation
bin111111011111101…
…1110010110100000
312111111001002200110
41332333132112200
513330411143413
6551225251320
7103540351200
oct17677362640
95444032613
102130568608
119a3717803
124b5633b40
1327c5318ac
14162d66400
15c70a48c3
hex7efde5a0

2130568608 has 144 divisors (see below), whose sum is σ = 6665125824. Its totient is φ = 593832960.

The previous prime is 2130568579. The next prime is 2130568681. The reversal of 2130568608 is 8068650312.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187341 + ... + 198387.

It is an arithmetic number, because the mean of its divisors is an integer number (46285596).

Almost surely, 22130568608 is an apocalyptic number.

2130568608 is a gapful number since it is divisible by the number (28) 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 2130568608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3332562912).

2130568608 is an abundant number, since it is smaller than the sum of its proper divisors (4534557216).

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

2130568608 is a wasteful number, since it uses less digits than its factorization.

2130568608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11115 (or 11100 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 2130568608 is about 46158.0828024735. The cubic root of 2130568608 is about 1286.7628322026.

The spelling of 2130568608 in words is "two billion, one hundred thirty million, five hundred sixty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 49 56 82 84 96 98 112 123 147 164 168 196 224 246 287 294 328 336 392 492 574 588 656 672 784 861 984 1148 1176 1312 1568 1722 1968 2009 2296 2352 3444 3936 4018 4592 4704 6027 6888 8036 9184 11047 12054 13776 16072 22094 24108 27552 32144 33141 44188 48216 64288 66282 77329 88376 96432 132564 154658 176752 192864 231987 265128 309316 353504 452927 463974 530256 541303 618632 905854 927948 1060512 1082606 1237264 1358781 1623909 1811708 1855896 2165212 2474528 2717562 3170489 3247818 3623416 3711792 4330424 5435124 6340978 6495636 7246832 7423584 8660848 9511467 10870248 12681956 12991272 14493664 17321696 19022934 21740496 22193423 25363912 25982544 38045868 43480992 44386846 50727824 51965088 66580269 76091736 88773692 101455648 133160538 152183472 177547384 266321076 304366944 355094768 532642152 710189536 1065284304 2130568608