Search a number
-
+
17130062040 = 23357131568687
BaseRepresentation
bin11111111010000100…
…00000000011011000
31122012211020022111020
433331002000003120
5240040243441130
611511444402440
71144333060560
oct177502000330
948184208436
1017130062040
1172a0523173
1233a09a6420
1317ccc311b0
14b87097da0
156a3d18e10
hex3fd0800d8

17130062040 has 128 divisors (see below), whose sum is σ = 63249500160. Its totient is φ = 3614252544.

The previous prime is 17130062039. The next prime is 17130062071. The reversal of 17130062040 is 4026003171.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 17130062040.

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, 773424 + ... + 795263.

It is an arithmetic number, because the mean of its divisors is an integer number (494136720).

Almost surely, 217130062040 is an apocalyptic number.

17130062040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

17130062040 is an abundant number, since it is smaller than the sum of its proper divisors (46119438120).

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

17130062040 is a wasteful number, since it uses less digits than its factorization.

17130062040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568721 (or 1568717 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The spelling of 17130062040 in words is "seventeen billion, one hundred thirty million, sixty-two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 10920 1568687 3137374 4706061 6274748 7843435 9412122 10980809 12549496 15686870 18824244 20392931 21961618 23530305 31373740 32942427 37648488 40785862 43923236 47060610 54904045 61178793 62747480 65884854 81571724 87846472 94121220 101964655 109808090 122357586 131769708 142750517 163143448 164712135 188242440 203929310 219616180 244715172 263539416 285501034 305893965 329424270 407858620 428251551 439232360 489430344 571002068 611787930 658848540 713752585 815717240 856503102 1142004136 1223575860 1317697080 1427505170 1713006204 2141257755 2447151720 2855010340 3426012408 4282515510 5710020680 8565031020 17130062040