Search a number
-
+
14465640 = 23357171013
BaseRepresentation
bin110111001011…
…101001101000
31000012221010110
4313023221220
512200400030
61234014320
7233645610
oct67135150
930187113
1014465640
118190282
124a173a0
132cc6367
141cc7a40
15140b1b0
hexdcba68

14465640 has 128 divisors (see below), whose sum is σ = 52565760. Its totient is φ = 3108864.

The previous prime is 14465639. The next prime is 14465641. The reversal of 14465640 is 4656441.

It is an interprime number because it is at equal distance from previous prime (14465639) and next prime (14465641).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 14465598 and 14465607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14465641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13774 + ... + 14786.

It is an arithmetic number, because the mean of its divisors is an integer number (410670).

Almost surely, 214465640 is an apocalyptic number.

14465640 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 14465640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26282880).

14465640 is an abundant number, since it is smaller than the sum of its proper divisors (38100120).

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

14465640 is a wasteful number, since it uses less digits than its factorization.

14465640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 14465640 is about 3803.3721879406. The cubic root of 14465640 is about 243.6571822804.

The spelling of 14465640 in words is "fourteen million, four hundred sixty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 51 56 60 68 70 84 85 102 105 119 120 136 140 168 170 204 210 238 255 280 340 357 408 420 476 510 595 680 714 840 952 1013 1020 1190 1428 1785 2026 2040 2380 2856 3039 3570 4052 4760 5065 6078 7091 7140 8104 10130 12156 14182 14280 15195 17221 20260 21273 24312 28364 30390 34442 35455 40520 42546 51663 56728 60780 68884 70910 85092 86105 103326 106365 120547 121560 137768 141820 170184 172210 206652 212730 241094 258315 283640 344420 361641 413304 425460 482188 516630 602735 688840 723282 850920 964376 1033260 1205470 1446564 1808205 2066520 2410940 2893128 3616410 4821880 7232820 14465640