Search a number
-
+
91802040 = 233511174091
BaseRepresentation
bin1010111100011…
…00100110111000
320101202000201120
411132030212320
5142000131130
613035345240
72163206301
oct536144670
9211660646
1091802040
1147902260
12268b2220
1316033245
14c2997a8
1580d5910
hex578c9b8

91802040 has 128 divisors (see below), whose sum is σ = 318193920. Its totient is φ = 20940800.

The previous prime is 91802017. The next prime is 91802047. The reversal of 91802040 is 4020819.

It is a super-2 number, since 2×918020402 = 16855229096323200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 91802040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91802047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20395 + ... + 24485.

It is an arithmetic number, because the mean of its divisors is an integer number (2485890).

Almost surely, 291802040 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 91802040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159096960).

91802040 is an abundant number, since it is smaller than the sum of its proper divisors (226391880).

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

91802040 is a wasteful number, since it uses less digits than its factorization.

91802040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4133 (or 4129 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 91802040 is about 9581.3381111408. The cubic root of 91802040 is about 451.1117203803. Note that the first 3 decimals are identical.

Adding to 91802040 its reverse (4020819), we get a palindrome (95822859).

The spelling of 91802040 in words is "ninety-one million, eight hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 220 255 264 330 340 374 408 440 510 561 660 680 748 935 1020 1122 1320 1496 1870 2040 2244 2805 3740 4091 4488 5610 7480 8182 11220 12273 16364 20455 22440 24546 32728 40910 45001 49092 61365 69547 81820 90002 98184 122730 135003 139094 163640 180004 208641 225005 245460 270006 278188 347735 360008 417282 450010 490920 540012 556376 675015 695470 765017 834564 900020 1043205 1080024 1350030 1390940 1530034 1669128 1800040 2086410 2295051 2700060 2781880 3060068 3825085 4172820 4590102 5400120 6120136 7650170 8345640 9180204 11475255 15300340 18360408 22950510 30600680 45901020 91802040