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61353030 = 23531371783
BaseRepresentation
bin1110101000001…
…0110001000110
311021110001112110
43222002301012
5111201244110
610031001450
71343330544
oct352026106
9137401473
1061353030
11316a5492
1218669286
13c931a8b
148210d94
1555bda20
hex3a82c46

61353030 has 64 divisors (see below), whose sum is σ = 156192768. Its totient is φ = 15396480.

The previous prime is 61353023. The next prime is 61353031. The reversal of 61353030 is 3035316.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 61352988 and 61353006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61353031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33519 + ... + 35301.

It is an arithmetic number, because the mean of its divisors is an integer number (2440512).

Almost surely, 261353030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61353030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78096384).

61353030 is an abundant number, since it is smaller than the sum of its proper divisors (94839738).

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

61353030 is a wasteful number, since it uses less digits than its factorization.

61353030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861.

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 61353030 is about 7832.8175007465. The cubic root of 61353030 is about 394.4076578064.

Adding to 61353030 its reverse (3035316), we get a palindrome (64388346).

The spelling of 61353030 in words is "sixty-one million, three hundred fifty-three thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 31 37 62 74 93 111 155 185 186 222 310 370 465 555 930 1110 1147 1783 2294 3441 3566 5349 5735 6882 8915 10698 11470 17205 17830 26745 34410 53490 55273 65971 110546 131942 165819 197913 276365 329855 331638 395826 552730 659710 829095 989565 1658190 1979130 2045101 4090202 6135303 10225505 12270606 20451010 30676515 61353030