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104498240 = 2657114241
BaseRepresentation
bin1100011101010…
…00010001000000
321021122001122012
412032220101000
5203222420430
614211432052
72406135410
oct616502100
9237561565
10104498240
1153a94090
122abb5628
131885a0a2
14dc42640
159292695
hex63a8440

104498240 has 112 divisors (see below), whose sum is σ = 310310784. Its totient is φ = 32563200.

The previous prime is 104498239. The next prime is 104498279. The reversal of 104498240 is 42894401.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 104498197 and 104498206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22520 + ... + 26760.

It is an arithmetic number, because the mean of its divisors is an integer number (2770632).

Almost surely, 2104498240 is an apocalyptic number.

104498240 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 104498240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155155392).

104498240 is an abundant number, since it is smaller than the sum of its proper divisors (205812544).

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

104498240 is a wasteful number, since it uses less digits than its factorization.

104498240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 104498240 is about 10222.4380653541. The cubic root of 104498240 is about 471.0167215932.

The spelling of 104498240 in words is "one hundred four million, four hundred ninety-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 704 770 880 1120 1232 1540 1760 2240 2464 3080 3520 4241 4928 6160 8482 12320 16964 21205 24640 29687 33928 42410 46651 59374 67856 84820 93302 118748 135712 148435 169640 186604 233255 237496 271424 296870 326557 339280 373208 466510 474992 593740 653114 678560 746416 933020 949984 1187480 1306228 1357120 1492832 1632785 1866040 1899968 2374960 2612456 2985664 3265570 3732080 4749920 5224912 6531140 7464160 9499840 10449824 13062280 14928320 20899648 26124560 52249120 104498240