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61305534 = 23223373397
BaseRepresentation
bin1110100111011…
…1001010111110
311021100122101100
43221313022332
5111143234114
610025553530
71343042223
oct351671276
9137318340
1061305534
1131672834
12186458a6
13c916284
1481db94a
1555ae909
hex3a772be

61305534 has 48 divisors (see below), whose sum is σ = 139325472. Its totient is φ = 19445184.

The previous prime is 61305509. The next prime is 61305539. The reversal of 61305534 is 43550316.

It is a junction number, because it is equal to n+sod(n) for n = 61305498 and 61305507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61305539) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 154224 + ... + 154620.

It is an arithmetic number, because the mean of its divisors is an integer number (2902614).

Almost surely, 261305534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61305534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69662736).

61305534 is an abundant number, since it is smaller than the sum of its proper divisors (78019938).

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

61305534 is a wasteful number, since it uses less digits than its factorization.

61305534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 61305534 is about 7829.7850545210. The cubic root of 61305534 is about 394.3058555964.

It can be divided in two parts, 613055 and 34, that added together give a square (613089 = 7832).

The spelling of 61305534 in words is "sixty-one million, three hundred five thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 373 397 414 746 794 1119 1191 2238 2382 3357 3573 6714 7146 8579 9131 17158 18262 25737 27393 51474 54786 77211 82179 148081 154422 164358 296162 444243 888486 1332729 2665458 3405863 6811726 10217589 20435178 30652767 61305534