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102996605460 = 223572239146581
BaseRepresentation
bin101111111101100010…
…0110111101000010100
3100211212000021200011010
41133323010313220110
53141414112333320
6115152130412220
710304231462400
oct1377304675024
9324760250133
10102996605460
113a753998141
1217b65431070
1399355a5b78
144db1022100
152a2c35cae0
hex17fb137a14

102996605460 has 144 divisors (see below), whose sum is σ = 336880615680. Its totient is φ = 23443418880.

The previous prime is 102996605441. The next prime is 102996605479. The reversal of 102996605460 is 64506699201.

It is an interprime number because it is at equal distance from previous prime (102996605441) and next prime (102996605479).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 629370 + ... + 775950.

It is an arithmetic number, because the mean of its divisors is an integer number (2339448720).

Almost surely, 2102996605460 is an apocalyptic number.

102996605460 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 102996605460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168440307840).

102996605460 is an abundant number, since it is smaller than the sum of its proper divisors (233884010220).

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

102996605460 is a wasteful number, since it uses less digits than its factorization.

102996605460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146846 (or 146837 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 102996605460 in words is "one hundred two billion, nine hundred ninety-six million, six hundred five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 239 245 294 420 478 490 588 717 735 956 980 1195 1434 1470 1673 2390 2868 2940 3346 3585 4780 5019 6692 7170 8365 10038 11711 14340 16730 20076 23422 25095 33460 35133 46844 50190 58555 70266 100380 117110 140532 146581 175665 234220 293162 351330 439743 586324 702660 732905 879486 1026067 1465810 1758972 2052134 2198715 2931620 3078201 4104268 4397430 5130335 6156402 7182469 8794860 10260670 12312804 14364938 15391005 20521340 21547407 28729876 30782010 35032859 35912345 43094814 61564020 70065718 71824690 86189628 105098577 107737035 140131436 143649380 175164295 210197154 215474070 245230013 350328590 420394308 430948140 490460026 525492885 700657180 735690039 980920052 1050985770 1226150065 1471380078 1716610091 2101971540 2452300130 2942760156 3433220182 3678450195 4904600260 5149830273 6866440364 7356900390 8583050455 10299660546 14713800780 17166100910 20599321092 25749151365 34332201820 51498302730 102996605460