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91930240 = 2753792
BaseRepresentation
bin1010111101010…
…11111010000000
320101222112120201
411132223322000
5142013231430
613042214544
72164252123
oct536537200
9211875521
1091930240
114798a606
1226954454
13160796bc
14c2d03ba
15810d8ca
hex57abe80

91930240 has 48 divisors (see below), whose sum is σ = 220352130. Its totient is φ = 36675072.

The previous prime is 91930211. The next prime is 91930243. The reversal of 91930240 is 4203919.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 82737216 + 9193024 = 9096^2 + 3032^2 .

It is a junction number, because it is equal to n+sod(n) for n = 91930199 and 91930208.

It is not an unprimeable number, because it can be changed into a prime (91930243) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 242371 + ... + 242749.

Almost surely, 291930240 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 91930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110176065).

91930240 is an abundant number, since it is smaller than the sum of its proper divisors (128421890).

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

91930240 is an frugal number, since it uses more digits than its factorization.

91930240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 91930240 is about 9588.0258656305. The cubic root of 91930240 is about 451.3216126757.

The spelling of 91930240 in words is "ninety-one million, nine hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 379 640 758 1516 1895 3032 3790 6064 7580 12128 15160 24256 30320 48512 60640 121280 143641 242560 287282 574564 718205 1149128 1436410 2298256 2872820 4596512 5745640 9193024 11491280 18386048 22982560 45965120 91930240