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242614460 = 225119711369
BaseRepresentation
bin11100111011000…
…00000010111100
3121220112002110202
432131200002330
5444102130320
640024023032
76004121534
oct1635400274
9556462422
10242614460
11114a49920
1269301a78
133b357b6a
14243164c4
1516475b75
hexe7600bc

242614460 has 48 divisors (see below), whose sum is σ = 561587040. Its totient is φ = 87306240.

The previous prime is 242614457. The next prime is 242614483. The reversal of 242614460 is 64416242.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 15656 + ... + 27024.

It is an arithmetic number, because the mean of its divisors is an integer number (11699730).

Almost surely, 2242614460 is an apocalyptic number.

242614460 is a gapful number since it is divisible by the number (20) 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 242614460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280793520).

242614460 is an abundant number, since it is smaller than the sum of its proper divisors (318972580).

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

242614460 is a wasteful number, since it uses less digits than its factorization.

242614460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11486 (or 11484 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 242614460 is about 15576.0861579538. The cubic root of 242614460 is about 623.6949493786.

The spelling of 242614460 in words is "two hundred forty-two million, six hundred fourteen thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 97 110 194 220 388 485 970 1067 1940 2134 4268 5335 10670 11369 21340 22738 45476 56845 113690 125059 227380 250118 500236 625295 1102793 1250590 2205586 2501180 4411172 5513965 11027930 12130723 22055860 24261446 48522892 60653615 121307230 242614460