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104505480 = 23325432157
BaseRepresentation
bin1100011101010…
…10000010001000
321021122102120100
412032222002020
5203223133410
614211525400
72406165462
oct616520210
9237572510
10104505480
1153a99572
122abb9860
1318860481
14dc45132
1592948c0
hex63aa088

104505480 has 144 divisors (see below), whose sum is σ = 349939980. Its totient is φ = 27046656.

The previous prime is 104505469. The next prime is 104505481. The reversal of 104505480 is 84505401.

It can be written as a sum of positive squares in 2 ways, for example, as 101243844 + 3261636 = 10062^2 + 1806^2 .

It is not an unprimeable number, because it can be changed into a prime (104505481) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 665562 + ... + 665718.

Almost surely, 2104505480 is an apocalyptic number.

104505480 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 104505480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174969990).

104505480 is an abundant number, since it is smaller than the sum of its proper divisors (245434500).

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

104505480 is a wasteful number, since it uses less digits than its factorization.

104505480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 104505480 is about 10222.7921821780. The cubic root of 104505480 is about 471.0275992320.

The spelling of 104505480 in words is "one hundred four million, five hundred five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 43 45 60 72 86 90 120 129 157 172 180 215 258 314 344 360 387 430 471 516 628 645 774 785 860 942 1032 1256 1290 1413 1548 1570 1720 1849 1884 1935 2355 2580 2826 3096 3140 3698 3768 3870 4710 5160 5547 5652 6280 6751 7065 7396 7740 9245 9420 11094 11304 13502 14130 14792 15480 16641 18490 18840 20253 22188 27004 27735 28260 33282 33755 36980 40506 44376 54008 55470 56520 60759 66564 67510 73960 81012 83205 101265 110940 121518 133128 135020 162024 166410 202530 221880 243036 270040 290293 303795 332820 405060 486072 580586 607590 665640 810120 870879 1161172 1215180 1451465 1741758 2322344 2430360 2612637 2902930 3483516 4354395 5225274 5805860 6967032 8708790 10450548 11611720 13063185 17417580 20901096 26126370 34835160 52252740 104505480