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14374152 = 2333135119
BaseRepresentation
bin110110110101…
…010100001000
31000001021122000
4312311110020
512134433102
61232031000
7233115102
oct66652410
930037560
1014374152
118128571
124992460
132c93820
141ca2572
1513de01c
hexdb5508

14374152 has 64 divisors (see below), whose sum is σ = 43008000. Its totient is φ = 4421952.

The previous prime is 14374147. The next prime is 14374159. The reversal of 14374152 is 25147341.

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

It is not an unprimeable number, because it can be changed into a prime (14374159) 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, 249 + ... + 5367.

It is an arithmetic number, because the mean of its divisors is an integer number (672000).

Almost surely, 214374152 is an apocalyptic number.

14374152 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 14374152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21504000).

14374152 is an abundant number, since it is smaller than the sum of its proper divisors (28633848).

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

14374152 is a wasteful number, since it uses less digits than its factorization.

14374152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5147 (or 5137 counting only the distinct ones).

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

The square root of 14374152 is about 3791.3258894482. The cubic root of 14374152 is about 243.1424252704.

The spelling of 14374152 in words is "fourteen million, three hundred seventy-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 5119 10238 15357 20476 30714 40952 46071 61428 66547 92142 122856 133094 138213 184284 199641 266188 276426 368568 399282 532376 552852 598923 798564 1105704 1197846 1597128 1796769 2395692 3593538 4791384 7187076 14374152