Search a number
-
+
242746460 = 225117913967
BaseRepresentation
bin11100111100000…
…00010001011100
3121220202210112122
432132000101130
5444120341320
640030522112
76005211425
oct1636002134
9556683478
10242746460
1111502a010
1269366338
133b3a2c78
142434c64c
151649ed25
hexe78045c

242746460 has 48 divisors (see below), whose sum is σ = 563189760. Its totient is φ = 87147840.

The previous prime is 242746459. The next prime is 242746499. The reversal of 242746460 is 64647242.

It is a self number, because there is not a number n which added to its sum of digits gives 242746460.

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, 10397 + ... + 24363.

It is an arithmetic number, because the mean of its divisors is an integer number (11733120).

Almost surely, 2242746460 is an apocalyptic number.

242746460 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 242746460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281594880).

242746460 is an abundant number, since it is smaller than the sum of its proper divisors (320443300).

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

242746460 is a wasteful number, since it uses less digits than its factorization.

242746460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14066 (or 14064 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 35.

The square root of 242746460 is about 15580.3228464625. The cubic root of 242746460 is about 623.8080407515.

The spelling of 242746460 in words is "two hundred forty-two million, seven hundred forty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 158 220 316 395 790 869 1580 1738 3476 4345 8690 13967 17380 27934 55868 69835 139670 153637 279340 307274 614548 768185 1103393 1536370 2206786 3072740 4413572 5516965 11033930 12137323 22067860 24274646 48549292 60686615 121373230 242746460