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14748480 = 26345569
BaseRepresentation
bin111000010000…
…101101000000
31000202022010000
4320100231000
512233422410
61244040000
7236234325
oct70205500
930668100
1014748480
11836382a
124b33000
133095016
141d5cb4c
151464dc0
hexe10b40

14748480 has 140 divisors (see below), whose sum is σ = 52555140. Its totient is φ = 3926016.

The previous prime is 14748473. The next prime is 14748493. The reversal of 14748480 is 8484741.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3779136 + 10969344 = 1944^2 + 3312^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25636 + ... + 26204.

Almost surely, 214748480 is an apocalyptic number.

14748480 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 14748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26277570).

14748480 is an abundant number, since it is smaller than the sum of its proper divisors (37806660).

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

14748480 is an equidigital number, since it uses as much as digits as its factorization.

14748480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 14748480 is about 3840.3749816912. The cubic root of 14748480 is about 245.2349821065.

The spelling of 14748480 in words is "fourteen million, seven hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 569 576 648 720 810 864 960 1080 1138 1296 1440 1620 1707 1728 2160 2276 2592 2845 2880 3240 3414 4320 4552 5121 5184 5690 6480 6828 8535 8640 9104 10242 11380 12960 13656 15363 17070 18208 20484 22760 25605 25920 27312 30726 34140 36416 40968 45520 46089 51210 54624 61452 68280 76815 81936 91040 92178 102420 109248 122904 136560 153630 163872 182080 184356 204840 230445 245808 273120 307260 327744 368712 409680 460890 491616 546240 614520 737424 819360 921780 983232 1229040 1474848 1638720 1843560 2458080 2949696 3687120 4916160 7374240 14748480