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104575240 = 235711191787
BaseRepresentation
bin1100011101110…
…11000100001000
321021202222021001
412032323010020
5203232401430
614213224344
72406606040
oct616730410
9237688231
10104575240
1154036a20
122b0320b4
1318886153
14dc62720
1592aa3ca
hex63bb108

104575240 has 128 divisors (see below), whose sum is σ = 308966400. Its totient is φ = 30862080.

The previous prime is 104575193. The next prime is 104575253. The reversal of 104575240 is 42575401.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 104575199 and 104575208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57627 + ... + 59413.

It is an arithmetic number, because the mean of its divisors is an integer number (2413800).

Almost surely, 2104575240 is an apocalyptic number.

104575240 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 104575240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154483200).

104575240 is an abundant number, since it is smaller than the sum of its proper divisors (204391160).

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

104575240 is a wasteful number, since it uses less digits than its factorization.

104575240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 104575240 is about 10226.2035966433. The cubic root of 104575240 is about 471.1323834553.

The spelling of 104575240 in words is "one hundred four million, five hundred seventy-five thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 19 20 22 28 35 38 40 44 55 56 70 76 77 88 95 110 133 140 152 154 190 209 220 266 280 308 380 385 418 440 532 616 665 760 770 836 1045 1064 1330 1463 1540 1672 1787 2090 2660 2926 3080 3574 4180 5320 5852 7148 7315 8360 8935 11704 12509 14296 14630 17870 19657 25018 29260 33953 35740 39314 50036 58520 62545 67906 71480 78628 98285 100072 125090 135812 137599 157256 169765 196570 237671 250180 271624 275198 339530 373483 393140 475342 500360 550396 679060 687995 746966 786280 950684 1100792 1188355 1358120 1375990 1493932 1867415 1901368 2376710 2614381 2751980 2987864 3734830 4753420 5228762 5503960 7469660 9506840 10457524 13071905 14939320 20915048 26143810 52287620 104575240