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14329120 = 25513832
BaseRepresentation
bin110110101010…
…010100100000
3222221222212011
4312222110200
512132012440
61231042304
7232536601
oct66522440
928858764
1014329120
1180a7753
124970394
132c79190
141c8dda8
1513d09ea
hexdaa520

14329120 has 72 divisors (see below), whose sum is σ = 36901116. Its totient is φ = 5227008.

The previous prime is 14329087. The next prime is 14329121. The reversal of 14329120 is 2192341.

It can be written as a sum of positive squares in 2 ways, for example, as 13337104 + 992016 = 3652^2 + 996^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 14329091 and 14329100.

It is not an unprimeable number, because it can be changed into a prime (14329121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172599 + ... + 172681.

Almost surely, 214329120 is an apocalyptic number.

14329120 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 14329120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18450558).

14329120 is an abundant number, since it is smaller than the sum of its proper divisors (22571996).

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

14329120 is an equidigital number, since it uses as much as digits as its factorization.

14329120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 14329120 is about 3785.3824113291. The cubic root of 14329120 is about 242.8882504229. Note that the first 3 decimals are identical.

The spelling of 14329120 in words is "fourteen million, three hundred twenty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 83 104 130 160 166 208 260 332 415 416 520 664 830 1040 1079 1328 1660 2080 2158 2656 3320 4316 5395 6640 6889 8632 10790 13280 13778 17264 21580 27556 34445 34528 43160 55112 68890 86320 89557 110224 137780 172640 179114 220448 275560 358228 447785 551120 716456 895570 1102240 1432912 1791140 2865824 3582280 7164560 14329120