Search a number
-
+
242771136 = 2637317321
BaseRepresentation
bin11100111100001…
…10010011000000
3121220211001101120
432132012103000
5444122134021
640031232240
76005343366
oct1636062300
9556731346
10242771136
11115046603
1269378680
133b3b127a
1424357636
15164a72c6
hexe7864c0

242771136 has 56 divisors (see below), whose sum is σ = 651168624. Its totient is φ = 79810560.

The previous prime is 242771057. The next prime is 242771147. The reversal of 242771136 is 631177242.

It is a junction number, because it is equal to n+sod(n) for n = 242771097 and 242771106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5356 + ... + 22676.

Almost surely, 2242771136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242771136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325584312).

242771136 is an abundant number, since it is smaller than the sum of its proper divisors (408397488).

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

242771136 is a wasteful number, since it uses less digits than its factorization.

242771136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17409 (or 17399 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 242771136 is about 15581.1147226378. The cubic root of 242771136 is about 623.8291774355.

The spelling of 242771136 in words is "two hundred forty-two million, seven hundred seventy-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 146 192 219 292 438 584 876 1168 1752 2336 3504 4672 7008 14016 17321 34642 51963 69284 103926 138568 207852 277136 415704 554272 831408 1108544 1264433 1662816 2528866 3325632 3793299 5057732 7586598 10115464 15173196 20230928 30346392 40461856 60692784 80923712 121385568 242771136