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2108640520 = 23573198089
BaseRepresentation
bin111110110101111…
…0100110100001000
312102221210001000001
41331223310310020
513304302444040
6545123252344
7103153102000
oct17553646410
95387701001
102108640520
119922aa918
124aa21a0b4
13277b249ac
14160099000
15c51c259a
hex7daf4d08

2108640520 has 128 divisors (see below), whose sum is σ = 5824800000. Its totient is φ = 684827136.

The previous prime is 2108640449. The next prime is 2108640559. The reversal of 2108640520 is 250468012.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 31 ways as a sum of consecutive naturals, for example, 256636 + ... + 264724.

It is an arithmetic number, because the mean of its divisors is an integer number (45506250).

Almost surely, 22108640520 is an apocalyptic number.

2108640520 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 2108640520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2912400000).

2108640520 is an abundant number, since it is smaller than the sum of its proper divisors (3716159480).

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

2108640520 is a wasteful number, since it uses less digits than its factorization.

2108640520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8140 (or 8122 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 2108640520 is about 45919.9359755651. The cubic root of 2108640520 is about 1282.3330902080. Note that the first 3 decimals are identical.

The spelling of 2108640520 in words is "two billion, one hundred eight million, six hundred forty thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 49 56 70 76 95 98 133 140 152 190 196 245 266 280 343 380 392 490 532 665 686 760 931 980 1064 1330 1372 1715 1862 1960 2660 2744 3430 3724 4655 5320 6517 6860 7448 8089 9310 13034 13720 16178 18620 26068 32356 32585 37240 40445 52136 56623 64712 65170 80890 113246 130340 153691 161780 226492 260680 283115 307382 323560 396361 452984 566230 614764 768455 792722 1075837 1132460 1229528 1536910 1585444 1981805 2151674 2264920 2774527 3073820 3170888 3963610 4303348 5379185 5549054 6147640 7530859 7927220 8606696 10758370 11098108 13872635 15061718 15854440 21516740 22196216 27745270 30123436 37654295 43033480 52716013 55490540 60246872 75308590 105432026 110981080 150617180 210864052 263580065 301234360 421728104 527160130 1054320260 2108640520