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104151760 = 2452944893
BaseRepresentation
bin1100011010100…
…11101011010000
321020222110100121
412031103223100
5203130324020
614200200024
72403163306
oct615235320
9236873317
10104151760
1153877839
122aa69014
131876847b
14db92276
159224baa
hex6353ad0

104151760 has 40 divisors (see below), whose sum is σ = 250508520. Its totient is φ = 40223232.

The previous prime is 104151757. The next prime is 104151763. The reversal of 104151760 is 67151401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (104151757) and next prime (104151763).

It can be written as a sum of positive squares in 4 ways, for example, as 12222016 + 91929744 = 3496^2 + 9588^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1041517602 = 21695178222195200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104151763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20127 + ... + 24766.

It is an arithmetic number, because the mean of its divisors is an integer number (6262713).

Almost surely, 2104151760 is an apocalyptic number.

104151760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104151760 is an abundant number, since it is smaller than the sum of its proper divisors (146356760).

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

104151760 is a wasteful number, since it uses less digits than its factorization.

104151760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44935 (or 44929 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 104151760 is about 10205.4769609264. The cubic root of 104151760 is about 470.4955690332.

The spelling of 104151760 in words is "one hundred four million, one hundred fifty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 44893 89786 179572 224465 359144 448930 718288 897860 1301897 1795720 2603794 3591440 5207588 6509485 10415176 13018970 20830352 26037940 52075880 104151760