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103937080 = 235131011979
BaseRepresentation
bin1100011000111…
…11010000111000
321020120112212111
412030133100320
5203101441310
614151422104
72401310362
oct614372070
9236515774
10103937080
1153740515
122a984934
13186c1840
14db37d32
1591d128a
hex631f438

103937080 has 64 divisors (see below), whose sum is σ = 254469600. Its totient is φ = 37977600.

The previous prime is 103937077. The next prime is 103937083. The reversal of 103937080 is 80739301.

It is an interprime number because it is at equal distance from previous prime (103937077) and next prime (103937083).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103937083) 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 15 ways as a sum of consecutive naturals, for example, 51531 + ... + 53509.

Almost surely, 2103937080 is an apocalyptic number.

103937080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103937080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127234800).

103937080 is an abundant number, since it is smaller than the sum of its proper divisors (150532520).

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

103937080 is a wasteful number, since it uses less digits than its factorization.

103937080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 103937080 is about 10194.9536536465. The cubic root of 103937080 is about 470.1720812465.

The spelling of 103937080 in words is "one hundred three million, nine hundred thirty-seven thousand, eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 101 104 130 202 260 404 505 520 808 1010 1313 1979 2020 2626 3958 4040 5252 6565 7916 9895 10504 13130 15832 19790 25727 26260 39580 51454 52520 79160 102908 128635 199879 205816 257270 399758 514540 799516 999395 1029080 1599032 1998790 2598427 3997580 5196854 7995160 10393708 12992135 20787416 25984270 51968540 103937080