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10014480 = 2432571987
BaseRepresentation
bin100110001100…
…111100010000
3200211210021200
4212030330100
510030430410
6554351200
7151056510
oct46147420
920753250
1010014480
115720033
12342b500
1320c8338
141489840
15d2c3c0
hex98cf10

10014480 has 120 divisors (see below), whose sum is σ = 38455872. Its totient is φ = 2287872.

The previous prime is 10014469. The next prime is 10014481. The reversal of 10014480 is 8441001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10014481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4047 + ... + 6033.

Almost surely, 210014480 is an apocalyptic number.

10014480 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 10014480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19227936).

10014480 is an abundant number, since it is smaller than the sum of its proper divisors (28441392).

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

10014480 is a wasteful number, since it uses less digits than its factorization.

10014480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10014480 is about 3164.5663209988. The cubic root of 10014480 is about 215.5474062333.

Adding to 10014480 its reverse (8441001), we get a palindrome (18455481).

The spelling of 10014480 in words is "ten million, fourteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 1987 2520 3974 5040 5961 7948 9935 11922 13909 15896 17883 19870 23844 27818 29805 31792 35766 39740 41727 47688 55636 59610 69545 71532 79480 83454 89415 95376 111272 119220 125181 139090 143064 158960 166908 178830 208635 222544 238440 250362 278180 286128 333816 357660 417270 476880 500724 556360 625905 667632 715320 834540 1001448 1112720 1251810 1430640 1669080 2002896 2503620 3338160 5007240 10014480