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104277132 = 2235711511
BaseRepresentation
bin1100011011100…
…10010010001100
321021012211100000
412031302102030
5203143332012
614203004300
72404224651
oct615622214
9237184300
10104277132
1153952a53
122ab09690
13187b055b
14dbc5c28
15924bddc
hex637248c

104277132 has 72 divisors (see below), whose sum is σ = 277385472. Its totient is φ = 34246800.

The previous prime is 104277113. The next prime is 104277143. The reversal of 104277132 is 231772401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 104277096 and 104277105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68257 + ... + 69767.

It is an arithmetic number, because the mean of its divisors is an integer number (3852576).

Almost surely, 2104277132 is an apocalyptic number.

104277132 is a gapful number since it is divisible by the number (12) 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 104277132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138692736).

104277132 is an abundant number, since it is smaller than the sum of its proper divisors (173108340).

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

104277132 is a wasteful number, since it uses less digits than its factorization.

104277132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 104277132 is about 10211.6175016498. The cubic root of 104277132 is about 470.6842786555.

The spelling of 104277132 in words is "one hundred four million, two hundred seventy-seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 81 108 142 162 213 243 284 324 426 486 639 852 972 1278 1511 1917 2556 3022 3834 4533 5751 6044 7668 9066 11502 13599 17253 18132 23004 27198 34506 40797 54396 69012 81594 107281 122391 163188 214562 244782 321843 367173 429124 489564 643686 734346 965529 1287372 1468692 1931058 2896587 3862116 5793174 8689761 11586348 17379522 26069283 34759044 52138566 104277132