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92130696 = 23347191069
BaseRepresentation
bin1010111110111…
…00110110001000
320102100201120000
411133130312020
5142041140241
613050403000
72166045420
oct537346610
9212321500
1092130696
1148007179
1226a30460
1316119a08
14c343480
15814ceb6
hex57dcd88

92130696 has 160 divisors (see below), whose sum is σ = 310728000. Its totient is φ = 24914304.

The previous prime is 92130691. The next prime is 92130707. The reversal of 92130696 is 69603129.

92130696 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 92130696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92130691) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85650 + ... + 86718.

It is an arithmetic number, because the mean of its divisors is an integer number (1942050).

Almost surely, 292130696 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 92130696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155364000).

92130696 is an abundant number, since it is smaller than the sum of its proper divisors (218597304).

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

92130696 is a wasteful number, since it uses less digits than its factorization.

92130696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 92130696 is about 9598.4736286558. The cubic root of 92130696 is about 451.6494135798.

The spelling of 92130696 in words is "ninety-two million, one hundred thirty thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 81 84 108 114 126 133 152 162 168 171 189 216 228 252 266 324 342 378 399 456 504 513 532 567 648 684 756 798 1026 1064 1069 1134 1197 1368 1512 1539 1596 2052 2138 2268 2394 3078 3192 3207 3591 4104 4276 4536 4788 6156 6414 7182 7483 8552 9576 9621 10773 12312 12828 14364 14966 19242 20311 21546 22449 25656 28728 28863 29932 38484 40622 43092 44898 57726 59864 60933 67347 76968 81244 86184 86589 89796 115452 121866 134694 142177 162488 173178 179592 182799 202041 230904 243732 269388 284354 346356 365598 404082 426531 487464 538776 548397 568708 606123 692712 731196 808164 853062 1096794 1137416 1212246 1279593 1462392 1616328 1645191 1706124 2193588 2424492 2559186 3290382 3412248 3838779 4387176 4848984 5118372 6580764 7677558 10236744 11516337 13161528 15355116 23032674 30710232 46065348 92130696