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102460020 = 223513177727
BaseRepresentation
bin1100001101101…
…10101001110100
321010210111201120
412012312221310
5202212210040
614100023540
72352616155
oct606665164
9233714646
10102460020
1152921803
122a391bb0
13182c5440
14d87192c
158edd7d0
hex61b6a74

102460020 has 96 divisors (see below), whose sum is σ = 327172608. Its totient is φ = 23734272.

The previous prime is 102460019. The next prime is 102460063. The reversal of 102460020 is 20064201.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 9397 + ... + 17123.

It is an arithmetic number, because the mean of its divisors is an integer number (3408048).

Almost surely, 2102460020 is an apocalyptic number.

102460020 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 102460020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163586304).

102460020 is an abundant number, since it is smaller than the sum of its proper divisors (224712588).

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

102460020 is a wasteful number, since it uses less digits than its factorization.

102460020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7769 (or 7767 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 102460020 is about 10122.2537016220. The cubic root of 102460020 is about 467.9342262740.

The spelling of 102460020 in words is "one hundred two million, four hundred sixty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 170 195 204 221 255 260 340 390 442 510 663 780 884 1020 1105 1326 2210 2652 3315 4420 6630 7727 13260 15454 23181 30908 38635 46362 77270 92724 100451 115905 131359 154540 200902 231810 262718 301353 394077 401804 463620 502255 525436 602706 656795 788154 1004510 1205412 1313590 1506765 1576308 1707667 1970385 2009020 2627180 3013530 3415334 3940770 5123001 6027060 6830668 7881540 8538335 10246002 17076670 20492004 25615005 34153340 51230010 102460020