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91260990 = 23251983643
BaseRepresentation
bin1010111000010…
…00100000111110
320100201112112200
411130020200332
5141330322430
613020012330
72155464012
oct534104076
9210645480
1091260990
1147572807
12266910a6
1315ba3bb2
14c198542
15802a460
hex570883e

91260990 has 96 divisors (see below), whose sum is σ = 253169280. Its totient is φ = 22742208.

The previous prime is 91260979. The next prime is 91260997. The reversal of 91260990 is 9906219.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91260997) 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, 141609 + ... + 142251.

It is an arithmetic number, because the mean of its divisors is an integer number (2637180).

Almost surely, 291260990 is an apocalyptic number.

91260990 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 91260990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126584640).

91260990 is an abundant number, since it is smaller than the sum of its proper divisors (161908290).

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

91260990 is a wasteful number, since it uses less digits than its factorization.

91260990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 91260990 is about 9553.0618128430. The cubic root of 91260990 is about 450.2237405893.

The spelling of 91260990 in words is "ninety-one million, two hundred sixty thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 83 90 95 114 166 171 190 249 285 342 415 498 570 643 747 830 855 1245 1286 1494 1577 1710 1929 2490 3154 3215 3735 3858 4731 5787 6430 7470 7885 9462 9645 11574 12217 14193 15770 19290 23655 24434 28386 28935 36651 47310 53369 57870 61085 70965 73302 106738 109953 122170 141930 160107 183255 219906 266845 320214 366510 480321 533690 549765 800535 960642 1014011 1099530 1601070 2028022 2401605 3042033 4803210 5070055 6084066 9126099 10140110 15210165 18252198 30420330 45630495 91260990