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61335630 = 235543587
BaseRepresentation
bin1110100111111…
…0100001001110
311021102011200000
43221332201032
5111200220010
610030345130
71343226036
oct351764116
9137364600
1061335630
1131693404
121865b1a6
13c926b95
1482088c6
1555b87c0
hex3a7e84e

61335630 has 96 divisors (see below), whose sum is σ = 169513344. Its totient is φ = 15948576.

The previous prime is 61335623. The next prime is 61335647. The reversal of 61335630 is 3653316.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 61335594 and 61335603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104197 + ... + 104783.

It is an arithmetic number, because the mean of its divisors is an integer number (1765764).

Almost surely, 261335630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61335630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84756672).

61335630 is an abundant number, since it is smaller than the sum of its proper divisors (108177714).

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

61335630 is a wasteful number, since it uses less digits than its factorization.

61335630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 61335630 is about 7831.7067105453. The cubic root of 61335630 is about 394.3703690091.

Adding to 61335630 its reverse (3653316), we get a palindrome (64988946).

The spelling of 61335630 in words is "sixty-one million, three hundred thirty-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 81 86 90 129 135 162 215 243 258 270 387 405 430 486 587 645 774 810 1161 1174 1215 1290 1761 1935 2322 2430 2935 3483 3522 3870 5283 5805 5870 6966 8805 10449 10566 11610 15849 17415 17610 20898 25241 26415 31698 34830 47547 50482 52245 52830 75723 79245 95094 104490 126205 142641 151446 158490 227169 237735 252410 285282 378615 454338 475470 681507 713205 757230 1135845 1363014 1426410 2044521 2271690 3407535 4089042 6133563 6815070 10222605 12267126 20445210 30667815 61335630