Search a number
-
+
14193792 = 2734372
BaseRepresentation
bin110110001001…
…010010000000
3222201010020000
4312021102000
512113200132
61224120000
7231434214
oct66112200
928633200
1014193792
118015008
124906000
132c2c6c2
141c56944
1513a587c
hexd89480

14193792 has 120 divisors (see below), whose sum is σ = 43412985. Its totient is φ = 4603392.

The previous prime is 14193787. The next prime is 14193797. The reversal of 14193792 is 29739141.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (14193787) and next prime (14193797).

It can be written as a sum of positive squares in 2 ways, for example, as 11451456 + 2742336 = 3384^2 + 1656^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2664.

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

Its product of digits (13608) is a multiple of the sum of its prime divisors (42).

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (14193797) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 383598 + ... + 383634.

Almost surely, 214193792 is an apocalyptic number.

14193792 is a gapful number since it is divisible by the number (12) 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 14193792

14193792 is an abundant number, since it is smaller than the sum of its proper divisors (29219193).

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

14193792 is an frugal number, since it uses more digits than its factorization.

14193792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 42 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 14193792 is about 3767.4649301619. The cubic root of 14193792 is about 242.1211969482.

The spelling of 14193792 in words is "fourteen million, one hundred ninety-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 81 96 108 111 128 144 148 162 192 216 222 288 296 324 333 384 432 444 576 592 648 666 864 888 999 1152 1184 1296 1332 1369 1728 1776 1998 2368 2592 2664 2738 2997 3456 3552 3996 4107 4736 5184 5328 5476 5994 7104 7992 8214 10368 10656 10952 11988 12321 14208 15984 16428 21312 21904 23976 24642 31968 32856 36963 42624 43808 47952 49284 63936 65712 73926 87616 95904 98568 110889 127872 131424 147852 175232 191808 197136 221778 262848 295704 383616 394272 443556 525696 591408 788544 887112 1182816 1577088 1774224 2365632 3548448 4731264 7096896 14193792