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102440880 = 24325791801
BaseRepresentation
bin1100001101100…
…01111110110000
321010202112110200
412012301332300
5202211102010
614055355200
72352506313
oct606617660
9233675420
10102440880
1152909393
122a382b00
13182b9809
14d86897a
158ed7cc0
hex61b1fb0

102440880 has 120 divisors (see below), whose sum is σ = 348578880. Its totient is φ = 26956800.

The previous prime is 102440879. The next prime is 102440893. The reversal of 102440880 is 88044201.

It is a tau number, because it is divible by the number of its divisors (120).

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, 55980 + ... + 57780.

It is an arithmetic number, because the mean of its divisors is an integer number (2904824).

Almost surely, 2102440880 is an apocalyptic number.

102440880 is a gapful number since it is divisible by the number (10) 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 102440880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174289440).

102440880 is an abundant number, since it is smaller than the sum of its proper divisors (246138000).

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

102440880 is a wasteful number, since it uses less digits than its factorization.

102440880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 102440880 is about 10121.3082158385. The cubic root of 102440880 is about 467.9050870422.

The spelling of 102440880 in words is "one hundred two million, four hundred forty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 79 80 90 120 144 158 180 237 240 316 360 395 474 632 711 720 790 948 1185 1264 1422 1580 1801 1896 2370 2844 3160 3555 3602 3792 4740 5403 5688 6320 7110 7204 9005 9480 10806 11376 14220 14408 16209 18010 18960 21612 27015 28440 28816 32418 36020 43224 54030 56880 64836 72040 81045 86448 108060 129672 142279 144080 162090 216120 259344 284558 324180 426837 432240 569116 648360 711395 853674 1138232 1280511 1296720 1422790 1707348 2134185 2276464 2561022 2845580 3414696 4268370 5122044 5691160 6402555 6829392 8536740 10244088 11382320 12805110 17073480 20488176 25610220 34146960 51220440 102440880