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61266114 = 232713113331
BaseRepresentation
bin1110100110110…
…1100011000010
311021021122022100
43221231203002
5111141003424
610025051230
71342516260
oct351554302
9137248270
1061266114
1131646158
1218626b16
13c901350
1481cb430
1555a2dc9
hex3a6d8c2

61266114 has 96 divisors (see below), whose sum is σ = 165320064. Its totient is φ = 15966720.

The previous prime is 61266109. The next prime is 61266119. The reversal of 61266114 is 41166216.

61266114 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 (61266109) and next prime (61266119).

It is not an unprimeable number, because it can be changed into a prime (61266119) 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, 184929 + ... + 185259.

It is an arithmetic number, because the mean of its divisors is an integer number (1722084).

Almost surely, 261266114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61266114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82660032).

61266114 is an abundant number, since it is smaller than the sum of its proper divisors (104053950).

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

61266114 is a wasteful number, since it uses less digits than its factorization.

61266114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 469 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 61266114 is about 7827.2673392443. The cubic root of 61266114 is about 394.2213234258.

The spelling of 61266114 in words is "sixty-one million, two hundred sixty-six thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 113 117 126 182 226 234 273 331 339 546 662 678 791 819 993 1017 1469 1582 1638 1986 2034 2317 2373 2938 2979 4303 4407 4634 4746 5958 6951 7119 8606 8814 10283 12909 13221 13902 14238 20566 20853 25818 26442 30121 30849 37403 38727 41706 60242 61698 74806 77454 90363 92547 112209 180726 185094 224418 261821 271089 336627 486239 523642 542178 673254 785463 972478 1458717 1570926 2356389 2917434 3403673 4376151 4712778 6807346 8752302 10211019 20422038 30633057 61266114