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102469080 = 23357199613
BaseRepresentation
bin1100001101110…
…00110111011000
321010210222011010
412012320313120
5202213002310
614100133520
72352654450
oct606706730
9233728133
10102469080
115292859a
122a3972a0
13182c95bc
14d874d60
158ee1320
hex61b8dd8

102469080 has 128 divisors (see below), whose sum is σ = 353664000. Its totient is φ = 23265792.

The previous prime is 102469067. The next prime is 102469121. The reversal of 102469080 is 80964201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 166854 + ... + 167466.

It is an arithmetic number, because the mean of its divisors is an integer number (2763000).

Almost surely, 2102469080 is an apocalyptic number.

102469080 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 102469080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176832000).

102469080 is an abundant number, since it is smaller than the sum of its proper divisors (251194920).

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

102469080 is a wasteful number, since it uses less digits than its factorization.

102469080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 102469080 is about 10122.7012205241. The cubic root of 102469080 is about 467.9480181873.

The spelling of 102469080 in words is "one hundred two million, four hundred sixty-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 199 210 280 398 420 597 613 796 840 995 1194 1226 1393 1592 1839 1990 2388 2452 2786 2985 3065 3678 3980 4179 4291 4776 4904 5572 5970 6130 6965 7356 7960 8358 8582 9195 11144 11940 12260 12873 13930 14712 16716 17164 18390 20895 21455 23880 24520 25746 27860 33432 34328 36780 41790 42910 51492 55720 64365 73560 83580 85820 102984 121987 128730 167160 171640 243974 257460 365961 487948 514920 609935 731922 853909 975896 1219870 1463844 1707818 1829805 2439740 2561727 2927688 3415636 3659610 4269545 4879480 5123454 6831272 7319220 8539090 10246908 12808635 14638440 17078180 20493816 25617270 34156360 51234540 102469080