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61135092 = 223259107269
BaseRepresentation
bin1110100100110…
…1100011110100
311021000222120200
43221031203310
5111122310332
610022200500
71341432264
oct351154364
9137028520
1061135092
1131566777
1218583130
13c886815
1481957a4
15557917c
hex3a4d8f4

61135092 has 72 divisors (see below), whose sum is σ = 159213600. Its totient is φ = 19771968.

The previous prime is 61135051. The next prime is 61135093. The reversal of 61135092 is 29053116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61135093) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227134 + ... + 227402.

It is an arithmetic number, because the mean of its divisors is an integer number (2211300).

Almost surely, 261135092 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 61135092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79606800).

61135092 is an abundant number, since it is smaller than the sum of its proper divisors (98078508).

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

61135092 is a wasteful number, since it uses less digits than its factorization.

61135092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 61135092 is about 7818.8932720686. The cubic root of 61135092 is about 393.9400992877.

The spelling of 61135092 in words is "sixty-one million, one hundred thirty-five thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 59 107 118 177 214 236 269 321 354 428 531 538 642 708 807 963 1062 1076 1284 1614 1926 2124 2421 3228 3852 4842 6313 9684 12626 15871 18939 25252 28783 31742 37878 47613 56817 57566 63484 75756 86349 95226 113634 115132 142839 172698 190452 227268 259047 285678 345396 518094 571356 1036188 1698197 3396394 5094591 6792788 10189182 15283773 20378364 30567546 61135092