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104678964 = 223213474759
BaseRepresentation
bin1100011110101…
…00011000110100
321021222020112200
412033110120310
5203244211324
614215344500
72410520325
oct617243064
9237866480
10104678964
11540a7945
122b082130
13188c1420
14dc8c44c
1592caec9
hex63d4634

104678964 has 72 divisors (see below), whose sum is σ = 291083520. Its totient is φ = 31516992.

The previous prime is 104678947. The next prime is 104678969. The reversal of 104678964 is 469876401.

It is a super-2 number, since 2×1046789642 = 21915371008226592, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) 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 (104678969) 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 23 ways as a sum of consecutive naturals, for example, 19617 + ... + 24375.

Almost surely, 2104678964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104678964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145541760).

104678964 is an abundant number, since it is smaller than the sum of its proper divisors (186404556).

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

104678964 is a wasteful number, since it uses less digits than its factorization.

104678964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4829 (or 4824 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 104678964 is about 10231.2738209863. The cubic root of 104678964 is about 471.2880977767.

The spelling of 104678964 in words is "one hundred four million, six hundred seventy-eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 47 52 78 94 117 141 156 188 234 282 423 468 564 611 846 1222 1692 1833 2444 3666 4759 5499 7332 9518 10998 14277 19036 21996 28554 42831 57108 61867 85662 123734 171324 185601 223673 247468 371202 447346 556803 671019 742404 894692 1113606 1342038 2013057 2227212 2684076 2907749 4026114 5815498 8052228 8723247 11630996 17446494 26169741 34892988 52339482 104678964