Search a number
-
+
1043125440 = 263571723397
BaseRepresentation
bin111110001011001…
…101010011000000
32200200211021002120
4332023031103000
54114020003230
6251301444240
734564264020
oct7613152300
92620737076
101043125440
114958a9645
12251410680
131381594b6
149c775a80
156189e310
hex3e2cd4c0

1043125440 has 448 divisors, whose sum is σ = 4192487424. Its totient is φ = 214106112.

The previous prime is 1043125439. The next prime is 1043125477. The reversal of 1043125440 is 445213401.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×10431254402 = 2176221367150387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1043125440.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2627322 + ... + 2627718.

Almost surely, 21043125440 is an apocalyptic number.

1043125440 is a gapful number since it is divisible by the number (10) 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 1043125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096243712).

1043125440 is an abundant number, since it is smaller than the sum of its proper divisors (3149361984).

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

1043125440 is a wasteful number, since it uses less digits than its factorization.

1043125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1043125440 is about 32297.4525311208. The cubic root of 1043125440 is about 1014.1733147568.

Adding to 1043125440 its reverse (445213401), we get a palindrome (1488338841).

The spelling of 1043125440 in words is "one billion, forty-three million, one hundred twenty-five thousand, four hundred forty".