Search a number
-
+
14916720 = 2435713683
BaseRepresentation
bin111000111001…
…110001110000
31001001211220010
4320321301300
512304313340
61251414520
7240534660
oct70716160
931054803
1014916720
118469175
124bb4440
133123780
141da41a0
151499b80
hexe39c70

14916720 has 160 divisors (see below), whose sum is σ = 56996352. Its totient is φ = 3142656.

The previous prime is 14916709. The next prime is 14916731. The reversal of 14916720 is 2761941.

It is a happy number.

14916720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14916709) and next prime (14916731).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21499 + ... + 22181.

Almost surely, 214916720 is an apocalyptic number.

14916720 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 14916720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28498176).

14916720 is an abundant number, since it is smaller than the sum of its proper divisors (42079632).

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

14916720 is a wasteful number, since it uses less digits than its factorization.

14916720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 14916720 is about 3862.2169799223. The cubic root of 14916720 is about 246.1639465006.

The spelling of 14916720 in words is "fourteen million, nine hundred sixteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 56 60 65 70 78 80 84 91 104 105 112 120 130 140 156 168 182 195 208 210 240 260 273 280 312 336 364 390 420 455 520 546 560 624 683 728 780 840 910 1040 1092 1365 1366 1456 1560 1680 1820 2049 2184 2730 2732 3120 3415 3640 4098 4368 4781 5460 5464 6830 7280 8196 8879 9562 10245 10920 10928 13660 14343 16392 17758 19124 20490 21840 23905 26637 27320 28686 32784 35516 38248 40980 44395 47810 53274 54640 57372 62153 71032 71715 76496 81960 88790 95620 106548 114744 124306 133185 142064 143430 163920 177580 186459 191240 213096 229488 248612 266370 286860 310765 355160 372918 382480 426192 497224 532740 573720 621530 710320 745836 932295 994448 1065480 1147440 1243060 1491672 1864590 2130960 2486120 2983344 3729180 4972240 7458360 14916720