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242060280 = 2335711172367
BaseRepresentation
bin11100110110110…
…00101111111000
3121212110221021120
432123120233320
5443431412110
640004105240
75666323050
oct1633305770
9555427246
10242060280
11114700520
1269095220
133b1c2847
1424210560
15163b6870
hexe6d8bf8

242060280 has 512 divisors, whose sum is σ = 1015234560. Its totient is φ = 44605440.

The previous prime is 242060279. The next prime is 242060309. The reversal of 242060280 is 82060242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 242060280.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3612807 + ... + 3612873.

It is an arithmetic number, because the mean of its divisors is an integer number (1982880).

Almost surely, 2242060280 is an apocalyptic number.

242060280 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 242060280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507617280).

242060280 is an abundant number, since it is smaller than the sum of its proper divisors (773174280).

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

242060280 is a wasteful number, since it uses less digits than its factorization.

242060280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 242060280 is about 15558.2865380478. The cubic root of 242060280 is about 623.2197059667.

The spelling of 242060280 in words is "two hundred forty-two million, sixty thousand, two hundred eighty".