Search a number
-
+
14799240 = 2333571193
BaseRepresentation
bin111000011101…
…000110001000
31000211212202000
4320131012020
512242033430
61245111000
7236535321
oct70350610
930755660
1014799240
118398985
124b58460
1330b2161
141d73448
151474e60
hexe1d188

14799240 has 128 divisors (see below), whose sum is σ = 50284800. Its totient is φ = 3870720.

The previous prime is 14799229. The next prime is 14799241. The reversal of 14799240 is 4299741.

It is a super-3 number, since 3×147992403 (a number of 22 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 14799195 and 14799204.

It is not an unprimeable number, because it can be changed into a prime (14799241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76584 + ... + 76776.

It is an arithmetic number, because the mean of its divisors is an integer number (392850).

Almost surely, 214799240 is an apocalyptic number.

14799240 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 14799240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25142400).

14799240 is an abundant number, since it is smaller than the sum of its proper divisors (35485560).

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

14799240 is a wasteful number, since it uses less digits than its factorization.

14799240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 14799240 is about 3846.9780347696. The cubic root of 14799240 is about 245.5160025684.

The spelling of 14799240 in words is "fourteen million, seven hundred ninety-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 71 72 90 108 120 135 142 180 193 213 216 270 284 355 360 386 426 540 568 579 639 710 772 852 965 1065 1080 1158 1278 1420 1544 1704 1737 1917 1930 2130 2316 2556 2840 2895 3195 3474 3834 3860 4260 4632 5112 5211 5790 6390 6948 7668 7720 8520 8685 9585 10422 11580 12780 13703 13896 15336 17370 19170 20844 23160 25560 26055 27406 34740 38340 41109 41688 52110 54812 68515 69480 76680 82218 104220 109624 123327 137030 164436 205545 208440 246654 274060 328872 369981 411090 493308 548120 616635 739962 822180 986616 1233270 1479924 1644360 1849905 2466540 2959848 3699810 4933080 7399620 14799240