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2114758320 = 243564713619
BaseRepresentation
bin111111000001100…
…1010011010110000
312110101021212001020
41332003022122300
513312334231240
6545502335440
7103256102103
oct17603123260
95411255036
102114758320
119957a9254
124b028a580
132791874ac
14160c0c73a
15c59d00d0
hex7e0ca6b0

2114758320 has 80 divisors (see below), whose sum is σ = 6566365440. Its totient is φ = 563022592.

The previous prime is 2114758307. The next prime is 2114758337. The reversal of 2114758320 is 238574112.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148471 + ... + 162089.

It is an arithmetic number, because the mean of its divisors is an integer number (82079568).

Almost surely, 22114758320 is an apocalyptic number.

2114758320 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 2114758320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283182720).

2114758320 is an abundant number, since it is smaller than the sum of its proper divisors (4451607120).

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

2114758320 is a wasteful number, since it uses less digits than its factorization.

2114758320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14282 (or 14276 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 2114758320 is about 45986.5014977221. The cubic root of 2114758320 is about 1283.5720373801.

The spelling of 2114758320 in words is "two billion, one hundred fourteen million, seven hundred fifty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 647 1294 1941 2588 3235 3882 5176 6470 7764 9705 10352 12940 13619 15528 19410 25880 27238 31056 38820 40857 51760 54476 68095 77640 81714 108952 136190 155280 163428 204285 217904 272380 326856 408570 544760 653712 817140 1089520 1634280 3268560 8811493 17622986 26434479 35245972 44057465 52868958 70491944 88114930 105737916 132172395 140983888 176229860 211475832 264344790 352459720 422951664 528689580 704919440 1057379160 2114758320