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60064434 = 232171910331
BaseRepresentation
bin1110010100100…
…0001010110010
311012000120220200
43211020022302
5110334030214
65543220030
71326352653
oct345101262
9135016820
1060064434
11309a5331
1218147616
13c5a03b1
147d9752a
155416d09
hex39482b2

60064434 has 48 divisors (see below), whose sum is σ = 145061280. Its totient is φ = 17850240.

The previous prime is 60064399. The next prime is 60064439. The reversal of 60064434 is 43446006.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 60064398 and 60064407.

It is not an unprimeable number, because it can be changed into a prime (60064439) 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 23 ways as a sum of consecutive naturals, for example, 649 + ... + 10979.

It is an arithmetic number, because the mean of its divisors is an integer number (3022110).

Almost surely, 260064434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60064434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72530640).

60064434 is an abundant number, since it is smaller than the sum of its proper divisors (84996846).

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

60064434 is a wasteful number, since it uses less digits than its factorization.

60064434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10375 (or 10372 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 60064434 is about 7750.1247731891. The cubic root of 60064434 is about 391.6268531936.

It can be divided in two parts, 6006 and 4434, that added together give a triangular number (10440 = T144).

The spelling of 60064434 in words is "sixty million, sixty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 102 114 153 171 306 323 342 646 969 1938 2907 5814 10331 20662 30993 61986 92979 175627 185958 196289 351254 392578 526881 588867 1053762 1177734 1580643 1766601 3161286 3336913 3533202 6673826 10010739 20021478 30032217 60064434