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993686130 = 23451964567
BaseRepresentation
bin111011001110100…
…111001001110010
32120020210111010000
4323032213021302
54013340424010
6242334050430
733424123053
oct7316471162
92506714100
10993686130
1146aa01108
12238949a16
1312ab39378
1495d8672a
155c3857c0
hex3b3a7272

993686130 has 80 divisors (see below), whose sum is σ = 2812582080. Its totient is φ = 251032608.

The previous prime is 993686117. The next prime is 993686191. The reversal of 993686130 is 31686399.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16894 + ... + 47673.

It is an arithmetic number, because the mean of its divisors is an integer number (35157276).

Almost surely, 2993686130 is an apocalyptic number.

993686130 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

993686130 is an abundant number, since it is smaller than the sum of its proper divisors (1818895950).

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

993686130 is a wasteful number, since it uses less digits than its factorization.

993686130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64605 (or 64596 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 993686130 is about 31522.7874719226. The cubic root of 993686130 is about 997.8909316244.

The spelling of 993686130 in words is "nine hundred ninety-three million, six hundred eighty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 270 285 342 405 513 570 810 855 1026 1539 1710 2565 3078 5130 7695 15390 64567 129134 193701 322835 387402 581103 645670 968505 1162206 1226773 1743309 1937010 2453546 2905515 3486618 3680319 5229927 5811030 6133865 7360638 8716545 10459854 11040957 12267730 17433090 18401595 22081914 26149635 33122871 36803190 52299270 55204785 66245742 99368613 110409570 165614355 198737226 331228710 496843065 993686130