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14734880 = 2551937131
BaseRepresentation
bin111000001101…
…011000100000
31000201121110022
4320031120200
512233004010
61243453012
7236146556
oct70153040
930647408
1014734880
118354596
124b27168
13308ba84
141d57bd6
151460d55
hexe0d620

14734880 has 96 divisors (see below), whose sum is σ = 37920960. Its totient is φ = 5391360.

The previous prime is 14734879. The next prime is 14734897. The reversal of 14734880 is 8843741.

It is a happy number.

It is a super-2 number, since 2×147348802 = 434233377228800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14734880.

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, 112415 + ... + 112545.

It is an arithmetic number, because the mean of its divisors is an integer number (395010).

Almost surely, 214734880 is an apocalyptic number.

14734880 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 14734880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18960480).

14734880 is an abundant number, since it is smaller than the sum of its proper divisors (23186080).

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

14734880 is a wasteful number, since it uses less digits than its factorization.

14734880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 14734880 is about 3838.6039128829. The cubic root of 14734880 is about 245.1595795014.

The spelling of 14734880 in words is "fourteen million, seven hundred thirty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 37 38 40 74 76 80 95 131 148 152 160 185 190 262 296 304 370 380 524 592 608 655 703 740 760 1048 1184 1310 1406 1480 1520 2096 2489 2620 2812 2960 3040 3515 4192 4847 4978 5240 5624 5920 7030 9694 9956 10480 11248 12445 14060 19388 19912 20960 22496 24235 24890 28120 38776 39824 48470 49780 56240 77552 79648 92093 96940 99560 112480 155104 184186 193880 199120 368372 387760 398240 460465 736744 775520 920930 1473488 1841860 2946976 3683720 7367440 14734880