Search a number
-
+
13514472 = 2333193789
BaseRepresentation
bin110011100011…
…011011101000
3221102121101000
4303203123220
511424430342
61201355000
7222604536
oct63433350
927377330
1013514472
1176a0694
124638a60
132a5243a
141b1b156
1512be44c
hexce36e8

13514472 has 128 divisors (see below), whose sum is σ = 41040000. Its totient is φ = 4105728.

The previous prime is 13514471. The next prime is 13514497. The reversal of 13514472 is 27441531.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (3360) is a multiple of the sum of its prime factors (160).

It is not an unprimeable number, because it can be changed into a prime (13514471) 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, 151804 + ... + 151892.

It is an arithmetic number, because the mean of its divisors is an integer number (320625).

Almost surely, 213514472 is an apocalyptic number.

13514472 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 13514472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20520000).

13514472 is an abundant number, since it is smaller than the sum of its proper divisors (27525528).

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

13514472 is a wasteful number, since it uses less digits than its factorization.

13514472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 150 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 13514472 is about 3676.2034764142. The cubic root of 13514472 is about 238.1952121061.

The spelling of 13514472 in words is "thirteen million, five hundred fourteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 37 38 54 57 72 74 76 89 108 111 114 148 152 171 178 216 222 228 267 296 333 342 356 444 456 513 534 666 684 703 712 801 888 999 1026 1068 1332 1368 1406 1602 1691 1998 2052 2109 2136 2403 2664 2812 3204 3293 3382 3996 4104 4218 4806 5073 5624 6327 6408 6586 6764 7992 8436 9612 9879 10146 12654 13172 13528 15219 16872 18981 19224 19758 20292 25308 26344 29637 30438 37962 39516 40584 45657 50616 59274 60876 62567 75924 79032 88911 91314 118548 121752 125134 151848 177822 182628 187701 237096 250268 355644 365256 375402 500536 563103 711288 750804 1126206 1501608 1689309 2252412 3378618 4504824 6757236 13514472