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2260748840 = 235737673257
BaseRepresentation
bin1000011011000000…
…0100101000101000
312211112222221101112
42012300010220220
514112222430330
61012155405452
7110011022330
oct20660045050
95745887345
102260748840
11a60152079
12531153888
132a04b140c
141763720c0
15d371b795
hex86c04a28

2260748840 has 128 divisors (see below), whose sum is σ = 6061443840. Its totient is φ = 742680576.

The previous prime is 2260748837. The next prime is 2260748863. The reversal of 2260748840 is 488470622.

It is a super-2 number, since 2×22607488402 = 10221970635122691200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 692492 + ... + 695748.

It is an arithmetic number, because the mean of its divisors is an integer number (47355030).

Almost surely, 22260748840 is an apocalyptic number.

2260748840 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 2260748840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3030721920).

2260748840 is an abundant number, since it is smaller than the sum of its proper divisors (3800695000).

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

2260748840 is a wasteful number, since it uses less digits than its factorization.

2260748840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3379 (or 3375 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 41.

The square root of 2260748840 is about 47547.3326276038. The cubic root of 2260748840 is about 1312.4540445285.

The spelling of 2260748840 in words is "two billion, two hundred sixty million, seven hundred forty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 67 70 74 134 140 148 185 259 268 280 296 335 370 469 518 536 670 740 938 1036 1295 1340 1480 1876 2072 2345 2479 2590 2680 3257 3752 4690 4958 5180 6514 9380 9916 10360 12395 13028 16285 17353 18760 19832 22799 24790 26056 32570 34706 45598 49580 65140 69412 86765 91196 99160 113995 120509 130280 138824 173530 182392 218219 227990 241018 347060 436438 455980 482036 602545 694120 843563 872876 911960 964072 1091095 1205090 1527533 1687126 1745752 2182190 2410180 3055066 3374252 4217815 4364380 4820360 6110132 6748504 7637665 8074103 8435630 8728760 12220264 15275330 16148206 16871260 30550660 32296412 33742520 40370515 56518721 61101320 64592824 80741030 113037442 161482060 226074884 282593605 322964120 452149768 565187210 1130374420 2260748840