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68439150 = 232521311699
BaseRepresentation
bin1000001010001…
…00110001101110
311202210001212100
410011010301232
5120010023100
610442515530
71460503023
oct405046156
9152701770
1068439150
11356a538a
121ab05ba6
1311243250
14913754a
15601d400
hex4144c6e

68439150 has 72 divisors (see below), whose sum is σ = 198034200. Its totient is φ = 16845120.

The previous prime is 68439143. The next prime is 68439181. The reversal of 68439150 is 5193486.

68439150 is a nontrivial binomial coefficient, being equal to C(11700, 2).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1 + ... + 11699.

It is an arithmetic number, because the mean of its divisors is an integer number (2750475).

Almost surely, 268439150 is an apocalyptic number.

68439150 is the 11699-th triangular number and also the 5850-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68439150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99017100).

68439150 is an abundant number, since it is smaller than the sum of its proper divisors (129595050).

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

68439150 is a wasteful number, since it uses less digits than its factorization.

68439150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11730 (or 11722 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 68439150 is about 8272.7957789371. The cubic root of 68439150 is about 409.0422817621.

The spelling of 68439150 in words is "sixty-eight million, four hundred thirty-nine thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 585 650 975 1170 1950 2925 5850 11699 23398 35097 58495 70194 105291 116990 152087 175485 210582 292475 304174 350970 456261 526455 584950 760435 877425 912522 1052910 1368783 1520870 1754850 2281305 2632275 2737566 3802175 4562610 5264550 6843915 7604350 11406525 13687830 22813050 34219575 68439150