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16293140 = 22517173277
BaseRepresentation
bin111110001001…
…110100010100
31010122202222122
4332021310110
513132340030
61341115112
7255326603
oct76116424
933582878
1016293140
119219306
125558a98
1334b6116
142241a3a
15166c8e5
hexf89d14

16293140 has 48 divisors (see below), whose sum is σ = 36569232. Its totient is φ = 6076416.

The previous prime is 16293139. The next prime is 16293143. The reversal of 16293140 is 4139261.

16293140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 309136 + 15984004 = 556^2 + 3998^2 .

It is a super-2 number, since 2×162931402 = 530932822119200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16293143) 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, 58682 + ... + 58958.

It is an arithmetic number, because the mean of its divisors is an integer number (761859).

Almost surely, 216293140 is an apocalyptic number.

16293140 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 16293140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18284616).

16293140 is an abundant number, since it is smaller than the sum of its proper divisors (20276092).

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

16293140 is a wasteful number, since it uses less digits than its factorization.

16293140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 16293140 is about 4036.4761859820. The cubic root of 16293140 is about 253.5137949329.

The spelling of 16293140 in words is "sixteen million, two hundred ninety-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 173 277 340 346 554 692 865 1108 1385 1730 2770 2941 3460 4709 5540 5882 9418 11764 14705 18836 23545 29410 47090 47921 58820 94180 95842 191684 239605 479210 814657 958420 1629314 3258628 4073285 8146570 16293140