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104454672 = 2437289499
BaseRepresentation
bin1100011100111…
…01101000010000
321021112211212120
412032131220100
5203220022142
614210454240
72405564400
oct616355020
9237484776
10104454672
1153a64383
122ab94380
13188432ca
14dc30800
1592847ec
hex639da10

104454672 has 120 divisors (see below), whose sum is σ = 318060000. Its totient is φ = 29449728.

The previous prime is 104454667. The next prime is 104454683. The reversal of 104454672 is 276454401.

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, 209079 + ... + 209577.

It is an arithmetic number, because the mean of its divisors is an integer number (2650500).

Almost surely, 2104454672 is an apocalyptic number.

104454672 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 104454672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159030000).

104454672 is an abundant number, since it is smaller than the sum of its proper divisors (213605328).

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

104454672 is a wasteful number, since it uses less digits than its factorization.

104454672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 104454672 is about 10220.3068447087. The cubic root of 104454672 is about 470.9512528379.

The spelling of 104454672 in words is "one hundred four million, four hundred fifty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 89 98 112 147 168 178 196 267 294 336 356 392 499 534 588 623 712 784 998 1068 1176 1246 1424 1497 1869 1996 2136 2352 2492 2994 3493 3738 3992 4272 4361 4984 5988 6986 7476 7984 8722 9968 10479 11976 13083 13972 14952 17444 20958 23952 24451 26166 27944 29904 34888 41916 44411 48902 52332 55888 69776 73353 83832 88822 97804 104664 133233 146706 167664 177644 195608 209328 266466 293412 310877 355288 391216 532932 586824 621754 710576 932631 1065864 1173648 1243508 1865262 2131728 2176139 2487016 3730524 4352278 4974032 6528417 7461048 8704556 13056834 14922096 17409112 26113668 34818224 52227336 104454672