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102004707960 = 233251914912969
BaseRepresentation
bin101111011111111110…
…1000101001001111000
3100202021212212001120200
41132333331011021320
53132401201123320
6114505454522200
710240525466061
oct1367775051170
9322255761520
10102004707960
113a294aa8941
1217929206360
139807c4497c
144d193c3568
1529c022c290
hex17bff45278

102004707960 has 96 divisors (see below), whose sum is σ = 348963498000. Its totient is φ = 25769608704.

The previous prime is 102004707901. The next prime is 102004708021. The reversal of 102004707960 is 69707400201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7449645 + ... + 7463324.

Almost surely, 2102004707960 is an apocalyptic number.

102004707960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102004707960 is an abundant number, since it is smaller than the sum of its proper divisors (246958790040).

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

102004707960 is a wasteful number, since it uses less digits than its factorization.

102004707960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14913005 (or 14912998 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 102004707960 in words is "one hundred two billion, four million, seven hundred seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 14912969 29825938 44738907 59651876 74564845 89477814 119303752 134216721 149129690 178955628 223694535 268433442 283346411 298259380 357911256 447389070 536866884 566692822 596518760 671083605 850039233 894778140 1073733768 1133385644 1342167210 1416732055 1700078466 1789556280 2266771288 2550117699 2684334420 2833464110 3400156932 4250196165 5100235398 5368668840 5666928220 6800313864 8500392330 10200470796 11333856440 12750588495 17000784660 20400941592 25501176990 34001569320 51002353980 102004707960