Search a number
-
+
91206640 = 2457253439
BaseRepresentation
bin1010110111110…
…11001111110000
320100121202222201
411123323033300
5141322103030
613014512544
72155146400
oct533731760
9210552881
1091206640
1147535998
1226665754
1315b85235
14c182800
1580192ca
hex56fb3f0

91206640 has 120 divisors (see below), whose sum is σ = 251903520. Its totient is φ = 30610944.

The previous prime is 91206629. The next prime is 91206667. The reversal of 91206640 is 4660219.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 91206599 and 91206608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207541 + ... + 207979.

It is an arithmetic number, because the mean of its divisors is an integer number (2099196).

Almost surely, 291206640 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 91206640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125951760).

91206640 is an abundant number, since it is smaller than the sum of its proper divisors (160696880).

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

91206640 is a wasteful number, since it uses less digits than its factorization.

91206640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 91206640 is about 9550.2167514670. The cubic root of 91206640 is about 450.1343467183.

Adding to 91206640 its reverse (4660219), we get a palindrome (95866859).

The spelling of 91206640 in words is "ninety-one million, two hundred six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 53 56 70 80 98 106 112 140 196 212 245 265 280 371 392 424 439 490 530 560 742 784 848 878 980 1060 1484 1756 1855 1960 2120 2195 2597 2968 3073 3512 3710 3920 4240 4390 5194 5936 6146 7024 7420 8780 10388 12292 12985 14840 15365 17560 20776 21511 23267 24584 25970 29680 30730 35120 41552 43022 46534 49168 51940 61460 86044 93068 103880 107555 116335 122920 162869 172088 186136 207760 215110 232670 245840 325738 344176 372272 430220 465340 651476 814345 860440 930680 1140083 1302952 1628690 1720880 1861360 2280166 2605904 3257380 4560332 5700415 6514760 9120664 11400830 13029520 18241328 22801660 45603320 91206640