Search a number
-
+
14355320 = 2357167307
BaseRepresentation
bin110110110000…
…101101111000
31000000022210112
4312300231320
512133332240
61231403452
7233006150
oct66605570
930008715
1014355320
118115401
124983588
132c88095
141c99760
1513d8665
hexdb0b78

14355320 has 64 divisors (see below), whose sum is σ = 37255680. Its totient is φ = 4876416.

The previous prime is 14355311. The next prime is 14355337. The reversal of 14355320 is 2355341.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 46607 + ... + 46913.

It is an arithmetic number, because the mean of its divisors is an integer number (582120).

Almost surely, 214355320 is an apocalyptic number.

14355320 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 14355320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18627840).

14355320 is an abundant number, since it is smaller than the sum of its proper divisors (22900360).

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

14355320 is a wasteful number, since it uses less digits than its factorization.

14355320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 14355320 is about 3788.8415115969. The cubic root of 14355320 is about 243.0361961808.

The spelling of 14355320 in words is "fourteen million, three hundred fifty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 167 280 307 334 614 668 835 1169 1228 1336 1535 1670 2149 2338 2456 3070 3340 4298 4676 5845 6140 6680 8596 9352 10745 11690 12280 17192 21490 23380 42980 46760 51269 85960 102538 205076 256345 358883 410152 512690 717766 1025380 1435532 1794415 2050760 2871064 3588830 7177660 14355320