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42710460 = 223513173221
BaseRepresentation
bin1010001011101…
…1010110111100
32222100220201220
42202323112330
541413213320
64123233340
71026014202
oct242732674
988326656
1042710460
1122122001
1212378850
138b05480
14595b072
153b39e40
hex28bb5bc

42710460 has 96 divisors (see below), whose sum is σ = 136406592. Its totient is φ = 9891840.

The previous prime is 42710453. The next prime is 42710489. The reversal of 42710460 is 6401724.

It is a self number, because there is not a number n which added to its sum of digits gives 42710460.

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, 11650 + ... + 14870.

It is an arithmetic number, because the mean of its divisors is an integer number (1420902).

Almost surely, 242710460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42710460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68203296).

42710460 is an abundant number, since it is smaller than the sum of its proper divisors (93696132).

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

42710460 is a wasteful number, since it uses less digits than its factorization.

42710460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263 (or 3261 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 42710460 is about 6535.3240164509. The cubic root of 42710460 is about 349.5516981410.

The spelling of 42710460 in words is "forty-two million, seven hundred ten thousand, four hundred sixty".

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 3221 3315 4420 6442 6630 9663 12884 13260 16105 19326 32210 38652 41873 48315 54757 64420 83746 96630 109514 125619 164271 167492 193260 209365 219028 251238 273785 328542 418730 502476 547570 628095 657084 711841 821355 837460 1095140 1256190 1423682 1642710 2135523 2512380 2847364 3285420 3559205 4271046 7118410 8542092 10677615 14236820 21355230 42710460