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61697104 = 2471979367
BaseRepresentation
bin1110101101011…
…0110001010000
311022002112111221
43223112301100
5111243301404
610042214424
71346262640
oct353266120
9138075457
1061697104
113190aa47
12187b4414
13ca22581
1482a0520
15563a954
hex3ad6c50

61697104 has 80 divisors (see below), whose sum is σ = 146022400. Its totient is φ = 24665472.

The previous prime is 61697101. The next prime is 61697107. The reversal of 61697104 is 40179616.

61697104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61697101) and next prime (61697107).

It is a self number, because there is not a number n which added to its sum of digits gives 61697104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61697101) 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 15 ways as a sum of consecutive naturals, for example, 167929 + ... + 168295.

It is an arithmetic number, because the mean of its divisors is an integer number (1825280).

Almost surely, 261697104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61697104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73011200).

61697104 is an abundant number, since it is smaller than the sum of its proper divisors (84325296).

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

61697104 is a wasteful number, since it uses less digits than its factorization.

61697104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 61697104 is about 7854.7504097839. The cubic root of 61697104 is about 395.1435764978.

The spelling of 61697104 in words is "sixty-one million, six hundred ninety-seven thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 79 112 133 152 158 266 304 316 367 532 553 632 734 1064 1106 1264 1468 1501 2128 2212 2569 2936 3002 4424 5138 5872 6004 6973 8848 10276 10507 12008 13946 20552 21014 24016 27892 28993 41104 42028 48811 55784 57986 84056 97622 111568 115972 168112 195244 202951 231944 390488 405902 463888 550867 780976 811804 1101734 1623608 2203468 3247216 3856069 4406936 7712138 8813872 15424276 30848552 61697104