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14385020 = 2251361907
BaseRepresentation
bin110110110111…
…111101111100
31000001211112112
4312313331330
512140310040
61232153152
7233161556
oct66677574
930054475
1014385020
118135751
1249987b8
132c98760
141ca64d6
1513e2365
hexdb7f7c

14385020 has 48 divisors (see below), whose sum is σ = 33102048. Its totient is φ = 5218560.

The previous prime is 14385017. The next prime is 14385029. The reversal of 14385020 is 2058341.

14385020 = T134 + T135 + ... + T445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14385029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15407 + ... + 16313.

It is an arithmetic number, because the mean of its divisors is an integer number (689626).

Almost surely, 214385020 is an apocalyptic number.

14385020 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 14385020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16551024).

14385020 is an abundant number, since it is smaller than the sum of its proper divisors (18717028).

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

14385020 is a wasteful number, since it uses less digits than its factorization.

14385020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 14385020 is about 3792.7588903066. The cubic root of 14385020 is about 243.2036881582.

The spelling of 14385020 in words is "fourteen million, three hundred eighty-five thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 244 260 305 610 793 907 1220 1586 1814 3172 3628 3965 4535 7930 9070 11791 15860 18140 23582 47164 55327 58955 110654 117910 221308 235820 276635 553270 719251 1106540 1438502 2877004 3596255 7192510 14385020