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91664034 = 237112171061
BaseRepresentation
bin1010111011010…
…10111010100010
320101111000102020
411131222322202
5141431222114
613032402310
72162063040
oct535527242
9211430366
1091664034
1147818600
1226846396
1315cb5497
14c261390
1580a9aa9
hex576aea2

91664034 has 96 divisors (see below), whose sum is σ = 244073088. Its totient is φ = 22387200.

The previous prime is 91664033. The next prime is 91664047. The reversal of 91664034 is 43046619.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 91663986 and 91664004.

It is not an unprimeable number, because it can be changed into a prime (91664033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85864 + ... + 86924.

It is an arithmetic number, because the mean of its divisors is an integer number (2542428).

Almost surely, 291664034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91664034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122036544).

91664034 is an abundant number, since it is smaller than the sum of its proper divisors (152409054).

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

91664034 is a wasteful number, since it uses less digits than its factorization.

91664034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 91664034 is about 9574.1335900435. The cubic root of 91664034 is about 450.8855549388.

The spelling of 91664034 in words is "ninety-one million, six hundred sixty-four thousand, thirty-four".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 51 66 77 102 119 121 154 187 231 238 242 357 363 374 462 561 714 726 847 1061 1122 1309 1694 2057 2122 2541 2618 3183 3927 4114 5082 6171 6366 7427 7854 11671 12342 14399 14854 18037 22281 23342 28798 35013 36074 43197 44562 54111 70026 81697 86394 108222 126259 128381 163394 198407 245091 252518 256762 378777 385143 396814 490182 595221 757554 770286 898667 1190442 1388849 1797334 2182477 2696001 2777698 4166547 4364954 5392002 6547431 8333094 13094862 15277339 30554678 45832017 91664034