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19906680 = 2335198731
BaseRepresentation
bin100101111110…
…0000001111000
31101110100211110
41023330001320
520044003210
61550400320
7331126653
oct113740170
941410743
1019906680
1110267202
1268000a0
13417cb01
14290289a
151b33420
hex12fc078

19906680 has 64 divisors (see below), whose sum is σ = 62870400. Its totient is φ = 5028480.

The previous prime is 19906651. The next prime is 19906687. The reversal of 19906680 is 8660991.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19906687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2086 + ... + 6645.

It is an arithmetic number, because the mean of its divisors is an integer number (982350).

Almost surely, 219906680 is an apocalyptic number.

19906680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19906680 is an abundant number, since it is smaller than the sum of its proper divisors (42963720).

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

19906680 is a wasteful number, since it uses less digits than its factorization.

19906680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8764 (or 8760 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 19906680 is about 4461.6902626695. The cubic root of 19906680 is about 271.0189208977.

The spelling of 19906680 in words is "nineteen million, nine hundred six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 8731 17462 26193 34924 43655 52386 69848 87310 104772 130965 165889 174620 209544 261930 331778 349240 497667 523860 663556 829445 995334 1047720 1327112 1658890 1990668 2488335 3317780 3981336 4976670 6635560 9953340 19906680