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16249090 = 25112131033
BaseRepresentation
bin111101111111…
…000100000010
31010120112120011
4331333010002
513124432330
61340135134
7255054304
oct75770402
933515504
1016249090
119199200
1255374aa
13349c060
14222d974
15165e82a
hexf7f102

16249090 has 48 divisors (see below), whose sum is σ = 34655544. Its totient is φ = 5448960.

The previous prime is 16249081. The next prime is 16249099. The reversal of 16249090 is 9094261.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (16249081) and next prime (16249099).

It can be written as a sum of positive squares in 4 ways, for example, as 14235529 + 2013561 = 3773^2 + 1419^2 .

It is not an unprimeable number, because it can be changed into a prime (16249099) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15214 + ... + 16246.

Almost surely, 216249090 is an apocalyptic number.

16249090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16249090 is an abundant number, since it is smaller than the sum of its proper divisors (18406454).

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

16249090 is a wasteful number, since it uses less digits than its factorization.

16249090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 16249090 is about 4031.0160009606. The cubic root of 16249090 is about 253.2851227896.

The spelling of 16249090 in words is "sixteen million, two hundred forty-nine thousand, ninety".

Divisors: 1 2 5 10 11 13 22 26 55 65 110 121 130 143 242 286 605 715 1033 1210 1430 1573 2066 3146 5165 7865 10330 11363 13429 15730 22726 26858 56815 67145 113630 124993 134290 147719 249986 295438 624965 738595 1249930 1477190 1624909 3249818 8124545 16249090