Search a number
-
+
242624760 = 23357288839
BaseRepresentation
bin11100111011000…
…10100011111000
3121220112121121020
432131202203320
5444102443020
640024142440
76004163550
oct1635424370
9556477536
10242624760
11114a56634
1269307a20
133b35c761
142431a160
1516478c40
hexe7628f8

242624760 has 64 divisors (see below), whose sum is σ = 831859200. Its totient is φ = 55456896.

The previous prime is 242624749. The next prime is 242624773. The reversal of 242624760 is 67426242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143580 + ... + 145259.

It is an arithmetic number, because the mean of its divisors is an integer number (12997800).

Almost surely, 2242624760 is an apocalyptic number.

242624760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242624760 is an abundant number, since it is smaller than the sum of its proper divisors (589234440).

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

242624760 is a wasteful number, since it uses less digits than its factorization.

242624760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288860 (or 288856 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 242624760 is about 15576.4167894930. The cubic root of 242624760 is about 623.7037754080.

The spelling of 242624760 in words is "two hundred forty-two million, six hundred twenty-four thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 288839 577678 866517 1155356 1444195 1733034 2021873 2310712 2888390 3466068 4043746 4332585 5776780 6065619 6932136 8087492 8665170 10109365 11553560 12131238 16174984 17330340 20218730 24262476 30328095 34660680 40437460 48524952 60656190 80874920 121312380 242624760