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16414290 = 23251929331
BaseRepresentation
bin111110100111…
…011001010010
31010212221011200
4332213121102
513200224130
61343452030
7256343034
oct76473122
933787150
1016414290
1192a1332
1255b7016
1335292c9
142273c54
151693760
hexfa7652

16414290 has 96 divisors (see below), whose sum is σ = 46612800. Its totient is φ = 3991680.

The previous prime is 16414247. The next prime is 16414291. The reversal of 16414290 is 9241461.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (16414291) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49425 + ... + 49755.

It is an arithmetic number, because the mean of its divisors is an integer number (485550).

Almost surely, 216414290 is an apocalyptic number.

16414290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16414290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23306400).

16414290 is an abundant number, since it is smaller than the sum of its proper divisors (30198510).

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

16414290 is a wasteful number, since it uses less digits than its factorization.

16414290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 16414290 is about 4051.4552940888. The cubic root of 16414290 is about 254.1405901164.

The spelling of 16414290 in words is "sixteen million, four hundred fourteen thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 29 30 38 45 57 58 87 90 95 114 145 171 174 190 261 285 290 331 342 435 522 551 570 662 855 870 993 1102 1305 1653 1655 1710 1986 2610 2755 2979 3306 3310 4959 4965 5510 5958 6289 8265 9599 9918 9930 12578 14895 16530 18867 19198 24795 28797 29790 31445 37734 47995 49590 56601 57594 62890 86391 94335 95990 113202 143985 172782 182381 188670 283005 287970 364762 431955 547143 566010 863910 911905 1094286 1641429 1823810 2735715 3282858 5471430 8207145 16414290