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90113660 = 22571367739
BaseRepresentation
bin1010101111100…
…00011001111100
320021120020200222
411113300121330
5141032114120
612535240512
72142645020
oct527603174
9207506628
1090113660
11469597aa
1226219138
13158918c0
14bd7a380
157da0525
hex55f067c

90113660 has 96 divisors (see below), whose sum is σ = 236705280. Its totient is φ = 28055808.

The previous prime is 90113659. The next prime is 90113663. The reversal of 90113660 is 6631109.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90113663) 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, 121571 + ... + 122309.

It is an arithmetic number, because the mean of its divisors is an integer number (2465680).

Almost surely, 290113660 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 90113660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118352640).

90113660 is an abundant number, since it is smaller than the sum of its proper divisors (146591620).

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

90113660 is a wasteful number, since it uses less digits than its factorization.

90113660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 90113660 is about 9492.8214983744. The cubic root of 90113660 is about 448.3290458385.

Adding to 90113660 its reverse (6631109), we get a palindrome (96744769).

The spelling of 90113660 in words is "ninety million, one hundred thirteen thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 67 70 91 130 134 140 182 260 268 335 364 455 469 670 739 871 910 938 1340 1478 1742 1820 1876 2345 2956 3484 3695 4355 4690 5173 6097 7390 8710 9380 9607 10346 12194 14780 17420 19214 20692 24388 25865 30485 38428 48035 49513 51730 60970 67249 96070 99026 103460 121940 134498 192140 198052 247565 268996 336245 346591 495130 643669 672490 693182 990260 1287338 1344980 1386364 1732955 2574676 3218345 3465910 4505683 6436690 6931820 9011366 12873380 18022732 22528415 45056830 90113660