[go: up one dir, main page]

Search a number
-
+
13272792 = 23313192239
BaseRepresentation
bin110010101000…
…011011011000
3220222022211220
4302220123120
511344212132
61152252040
7220550121
oct62503330
926868756
1013272792
117546055
124541020
132999430
141a97048
151272a2c
hexca86d8

13272792 has 64 divisors (see below), whose sum is σ = 37632000. Its totient is φ = 3867264.

The previous prime is 13272761. The next prime is 13272793. The reversal of 13272792 is 29727231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13272793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4809 + ... + 7047.

It is an arithmetic number, because the mean of its divisors is an integer number (588000).

Almost surely, 213272792 is an apocalyptic number.

13272792 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 13272792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18816000).

13272792 is an abundant number, since it is smaller than the sum of its proper divisors (24359208).

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

13272792 is a wasteful number, since it uses less digits than its factorization.

13272792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280 (or 2276 counting only the distinct ones).

The product of its digits is 10584, while the sum is 33.

The square root of 13272792 is about 3643.1843214419. The cubic root of 13272792 is about 236.7667772815.

The spelling of 13272792 in words is "thirteen million, two hundred seventy-two thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 741 988 1482 1976 2239 2964 4478 5928 6717 8956 13434 17912 26868 29107 42541 53736 58214 85082 87321 116428 127623 170164 174642 232856 255246 340328 349284 510492 553033 698568 1020984 1106066 1659099 2212132 3318198 4424264 6636396 13272792