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242758130 = 251729411201
BaseRepresentation
bin11100111100000…
…11000111110010
3121220210101112212
432132003013302
5444121230010
640031052122
76005260436
oct1636030762
9556711485
10242758130
1111503785a
1269371042
133b3a8384
14243529c6
15164a3505
hexe7831f2

242758130 has 64 divisors (see below), whose sum is σ = 490704480. Its totient is φ = 86016000.

The previous prime is 242758129. The next prime is 242758133. The reversal of 242758130 is 31857242.

It can be written as a sum of positive squares in 16 ways, for example, as 7166329 + 235591801 = 2677^2 + 15349^2 .

It is not an unprimeable number, because it can be changed into a prime (242758133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201530 + ... + 202730.

Almost surely, 2242758130 is an apocalyptic number.

242758130 is an abundant number, since it is smaller than the sum of its proper divisors (247946350).

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

242758130 is a wasteful number, since it uses less digits than its factorization.

242758130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295.

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 242758130 is about 15580.6973528145. The cubic root of 242758130 is about 623.8180370843.

The spelling of 242758130 in words is "two hundred forty-two million, seven hundred fifty-eight thousand, one hundred thirty".

Divisors: 1 2 5 10 17 29 34 41 58 82 85 145 170 205 290 410 493 697 986 1189 1201 1394 2378 2402 2465 3485 4930 5945 6005 6970 11890 12010 20213 20417 34829 40426 40834 49241 69658 98482 101065 102085 174145 202130 204170 246205 348290 492410 592093 837097 1184186 1427989 1674194 2855978 2960465 4185485 5920930 7139945 8370970 14279890 24275813 48551626 121379065 242758130