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16240900 = 2252132312
BaseRepresentation
bin111101111101…
…000100000100
31010120010022211
4331331010010
513124202100
61340033204
7255021364
oct75750404
933503284
1016240900
119193035
125532804
133498400
14222a9a4
15165c1ba
hexf7d104

16240900 has 81 divisors (see below), whose sum is σ = 39433023. Its totient is φ = 5803200.

The previous prime is 16240883. The next prime is 16240907. The reversal of 16240900 is 904261.

The square root of 16240900 is 4030.

It is a perfect power (a square), and thus also a powerful number.

16240900 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 4 ways, for example, as 4186116 + 12054784 = 2046^2 + 3472^2 .

It is not an unprimeable number, because it can be changed into a prime (16240907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 523885 + ... + 523915.

Almost surely, 216240900 is an apocalyptic number.

16240900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16240900 is the 4030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16240900

16240900 is an abundant number, since it is smaller than the sum of its proper divisors (23192123).

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

16240900 is a wasteful number, since it uses less digits than its factorization.

16240900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The cubic root of 16240900 is about 253.2425613544.

The spelling of 16240900 in words is "sixteen million, two hundred forty thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 31 50 52 62 65 100 124 130 155 169 260 310 325 338 403 620 650 676 775 806 845 961 1300 1550 1612 1690 1922 2015 3100 3380 3844 4030 4225 4805 5239 8060 8450 9610 10075 10478 12493 16900 19220 20150 20956 24025 24986 26195 40300 48050 49972 52390 62465 96100 104780 124930 130975 162409 249860 261950 312325 324818 523900 624650 649636 812045 1249300 1624090 3248180 4060225 8120450 16240900