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91006740 = 22345115107
BaseRepresentation
bin1010110110010…
…10011100010100
320100020121210000
411123022130110
5141244203430
613010331300
72153354526
oct533123424
9210217700
1091006740
1147409790
1226589b30
1315b15256
14c12da16
157ec9e60
hex56ca714

91006740 has 120 divisors (see below), whose sum is σ = 311506272. Its totient is φ = 22057920.

The previous prime is 91006739. The next prime is 91006753. The reversal of 91006740 is 4760019.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 15267 + ... + 20373.

Almost surely, 291006740 is an apocalyptic number.

91006740 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91006740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155753136).

91006740 is an abundant number, since it is smaller than the sum of its proper divisors (220499532).

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

91006740 is a wasteful number, since it uses less digits than its factorization.

91006740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5139 (or 5128 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 91006740 is about 9539.7452796183. The cubic root of 91006740 is about 449.8052490612.

Adding to 91006740 its reverse (4760019), we get a palindrome (95766759).

The spelling of 91006740 in words is "ninety-one million, six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1188 1485 1620 1782 1980 2970 3564 4455 5107 5940 8910 10214 15321 17820 20428 25535 30642 45963 51070 56177 61284 76605 91926 102140 112354 137889 153210 168531 183852 224708 229815 275778 280885 306420 337062 413667 459630 505593 551556 561770 674124 689445 827334 842655 919260 1011186 1123540 1378890 1516779 1654668 1685310 2022372 2068335 2527965 2757780 3033558 3370620 4136670 4550337 5055930 6067116 7583895 8273340 9100674 10111860 15167790 18201348 22751685 30335580 45503370 91006740