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61001694 = 23313113769
BaseRepresentation
bin1110100010110…
…0111111011110
311020210012121000
43220230333132
5111104023234
610015251130
71340335335
oct350547736
9136705530
1061001694
1131485526
1218519aa6
13c83aba0
14815cd1c
15554e899
hex3a2cfde

61001694 has 64 divisors (see below), whose sum is σ = 147470400. Its totient is φ = 18579456.

The previous prime is 61001623. The next prime is 61001711. The reversal of 61001694 is 49610016.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 78942 + ... + 79710.

It is an arithmetic number, because the mean of its divisors is an integer number (2304225).

Almost surely, 261001694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61001694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73735200).

61001694 is an abundant number, since it is smaller than the sum of its proper divisors (86468706).

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

61001694 is a wasteful number, since it uses less digits than its factorization.

61001694 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 61001694 is about 7810.3581223911. The cubic root of 61001694 is about 393.6533622252.

The spelling of 61001694 in words is "sixty-one million, one thousand, six hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 113 117 226 234 339 351 678 702 769 1017 1469 1538 2034 2307 2938 3051 4407 4614 6102 6921 8814 9997 13221 13842 19994 20763 26442 29991 39663 41526 59982 79326 86897 89973 173794 179946 260691 269919 521382 539838 782073 1129661 1564146 2259322 2346219 3388983 4692438 6777966 10166949 20333898 30500847 61001694