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102704490 = 2335731109
BaseRepresentation
bin1100001111100…
…10010101101010
321011020221002000
412013302111222
5202243020430
614105151430
72354655000
oct607622552
9234227060
10102704490
1152a79449
122a48b576
131837c7b5
14d8d6a70
15903ae60
hex61f256a

102704490 has 128 divisors (see below), whose sum is σ = 319680000. Its totient is φ = 23454144.

The previous prime is 102704479. The next prime is 102704509. The reversal of 102704490 is 94407201.

It is a happy number.

102704490 is a `hidden beast` number, since 102 + 70 + 4 + 490 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92056 + ... + 93164.

It is an arithmetic number, because the mean of its divisors is an integer number (2497500).

Almost surely, 2102704490 is an apocalyptic number.

102704490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102704490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159840000).

102704490 is an abundant number, since it is smaller than the sum of its proper divisors (216975510).

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

102704490 is a wasteful number, since it uses less digits than its factorization.

102704490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 102704490 is about 10134.3223749790. The cubic root of 102704490 is about 468.3060949558.

The spelling of 102704490 in words is "one hundred two million, seven hundred four thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 90 98 105 126 135 147 189 210 245 270 294 315 343 378 441 490 630 686 735 882 945 1029 1109 1323 1470 1715 1890 2058 2205 2218 2646 3087 3327 3430 4410 5145 5545 6174 6615 6654 7763 9261 9981 10290 11090 13230 15435 15526 16635 18522 19962 23289 29943 30870 33270 38815 46305 46578 49905 54341 59886 69867 77630 92610 99810 108682 116445 139734 149715 163023 209601 232890 271705 299430 326046 349335 380387 419202 489069 543410 698670 760774 815115 978138 1048005 1141161 1467207 1630230 1901935 2096010 2282322 2445345 2934414 3423483 3803870 4890690 5705805 6846966 7336035 10270449 11411610 14672070 17117415 20540898 34234830 51352245 102704490