Search a number
-
+
265823040 = 2635725651
BaseRepresentation
bin11111101100000…
…10001101000000
3200112012012122210
433312002031000
51021022314130
642213302120
76405313200
oct1766021500
9615165583
10265823040
1112706086a
1275034940
13430c2852
1427438400
151850c5b0
hexfd82340

265823040 has 168 divisors, whose sum is σ = 981955872. Its totient is φ = 60748800.

The previous prime is 265823039. The next prime is 265823069. The reversal of 265823040 is 40328562.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 265822989 and 265823007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44215 + ... + 49865.

Almost surely, 2265823040 is an apocalyptic number.

265823040 is a gapful number since it is divisible by the number (20) 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 265823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490977936).

265823040 is an abundant number, since it is smaller than the sum of its proper divisors (716132832).

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

265823040 is a wasteful number, since it uses less digits than its factorization.

265823040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5685 (or 5668 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 265823040 is about 16304.0804708515. The cubic root of 265823040 is about 642.9801122081.

The spelling of 265823040 in words is "two hundred sixty-five million, eight hundred twenty-three thousand, forty".