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14329480 = 23511291123
BaseRepresentation
bin110110101010…
…011010001000
3222222000100111
4312222122020
512132020410
61231044104
7232540624
oct66523210
928860314
1014329480
1180a7a50
124970634
132c793a9
141c90184
1513d0b8a
hexdaa688

14329480 has 64 divisors (see below), whose sum is σ = 36417600. Its totient is φ = 5026560.

The previous prime is 14329423. The next prime is 14329481. The reversal of 14329480 is 8492341.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (14329481) 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, 12199 + ... + 13321.

It is an arithmetic number, because the mean of its divisors is an integer number (569025).

Almost surely, 214329480 is an apocalyptic number.

14329480 is a gapful number since it is divisible by the number (10) 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 14329480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18208800).

14329480 is an abundant number, since it is smaller than the sum of its proper divisors (22088120).

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

14329480 is a wasteful number, since it uses less digits than its factorization.

14329480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 14329480 is about 3785.4299623689. The cubic root of 14329480 is about 242.8902844868.

The spelling of 14329480 in words is "fourteen million, three hundred twenty-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 580 638 1123 1160 1276 1595 2246 2552 3190 4492 5615 6380 8984 11230 12353 12760 22460 24706 32567 44920 49412 61765 65134 98824 123530 130268 162835 247060 260536 325670 358237 494120 651340 716474 1302680 1432948 1791185 2865896 3582370 7164740 14329480