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19928680 = 2351134409
BaseRepresentation
bin100110000000…
…1011001101000
31101111111000021
41030001121220
520100204210
61551050224
7331251052
oct114013150
941444007
1019928680
1110281792
126810974
134189b25
14290a8d2
151b39bda
hex1301668

19928680 has 32 divisors (see below), whose sum is σ = 45246600. Its totient is φ = 7899136.

The previous prime is 19928677. The next prime is 19928683. The reversal of 19928680 is 8682991.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (19928677) and next prime (19928683).

It can be written as a sum of positive squares in 4 ways, for example, as 5044516 + 14884164 = 2246^2 + 3858^2 .

It is not an unprimeable number, because it can be changed into a prime (19928683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2316 + ... + 6724.

Almost surely, 219928680 is an apocalyptic number.

19928680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19928680 is an abundant number, since it is smaller than the sum of its proper divisors (25317920).

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

19928680 is a wasteful number, since it uses less digits than its factorization.

19928680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4533 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The square root of 19928680 is about 4464.1550152296. The cubic root of 19928680 is about 271.1187235961.

The spelling of 19928680 in words is "nineteen million, nine hundred twenty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 113 226 452 565 904 1130 2260 4409 4520 8818 17636 22045 35272 44090 88180 176360 498217 996434 1992868 2491085 3985736 4982170 9964340 19928680