[go: up one dir, main page]

Search a number
-
+
14671872 = 21332199
BaseRepresentation
bin110111111110…
…000000000000
31000121102000200
4313332000000
512223444442
61242245200
7235465065
oct67760000
930542020
1014671872
118311216
124ab6800
1330691a7
141d3cc6c
15144c34c
hexdfe000

14671872 has 84 divisors (see below), whose sum is σ = 42595800. Its totient is φ = 4866048.

The previous prime is 14671847. The next prime is 14671879. The reversal of 14671872 is 27817641.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14671879) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73629 + ... + 73827.

Almost surely, 214671872 is an apocalyptic number.

14671872 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 14671872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21297900).

14671872 is an abundant number, since it is smaller than the sum of its proper divisors (27923928).

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

14671872 is an equidigital number, since it uses as much as digits as its factorization.

14671872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 204 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 14671872 is about 3830.3879699059. The cubic root of 14671872 is about 244.8096369396.

The spelling of 14671872 in words is "fourteen million, six hundred seventy-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 199 256 288 384 398 512 576 597 768 796 1024 1152 1194 1536 1592 1791 2048 2304 2388 3072 3184 3582 4096 4608 4776 6144 6368 7164 8192 9216 9552 12288 12736 14328 18432 19104 24576 25472 28656 36864 38208 50944 57312 73728 76416 101888 114624 152832 203776 229248 305664 407552 458496 611328 815104 916992 1222656 1630208 1833984 2445312 3667968 4890624 7335936 14671872