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61215150 = 23521947457
BaseRepresentation
bin1110100110000…
…1000110101110
311021012001101210
43221201012232
5111132341100
610024015250
71342214553
oct351410656
9137161353
1061215150
1131610937
1218601526
13c8b40a9
1481b6a2a
155592c50
hex3a611ae

61215150 has 96 divisors (see below), whose sum is σ = 163560960. Its totient is φ = 15102720.

The previous prime is 61215149. The next prime is 61215157. The reversal of 61215150 is 5151216.

61215150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61215157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133722 + ... + 134178.

It is an arithmetic number, because the mean of its divisors is an integer number (1703760).

Almost surely, 261215150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61215150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81780480).

61215150 is an abundant number, since it is smaller than the sum of its proper divisors (102345810).

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

61215150 is a wasteful number, since it uses less digits than its factorization.

61215150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 61215150 is about 7824.0111196240. The cubic root of 61215150 is about 394.1119825646. Note that the first 3 decimals are identical.

Adding to 61215150 its reverse (5151216), we get a palindrome (66366366).

The spelling of 61215150 in words is "sixty-one million, two hundred fifteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 47 50 57 75 94 95 114 141 150 190 235 282 285 457 470 475 570 705 893 914 950 1175 1371 1410 1425 1786 2285 2350 2679 2742 2850 3525 4465 4570 5358 6855 7050 8683 8930 11425 13395 13710 17366 21479 22325 22850 26049 26790 34275 42958 43415 44650 52098 64437 66975 68550 86830 107395 128874 130245 133950 214790 217075 260490 322185 408101 434150 536975 644370 651225 816202 1073950 1224303 1302450 1610925 2040505 2448606 3221850 4081010 6121515 10202525 12243030 20405050 30607575 61215150