Search a number
-
+
555959040 = 28357133743
BaseRepresentation
bin100001001000110…
…100001100000000
31102202010122102120
4201020310030000
52114311142130
6131100044240
716530400560
oct4110641400
91382118376
10555959040
1126590828a
12136233680
138b248960
1453ba0da0
1533c1d910
hex21234300

555959040 has 576 divisors, whose sum is σ = 2296605696. Its totient is φ = 111476736.

The previous prime is 555959023. The next prime is 555959069. The reversal of 555959040 is 40959555.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 555958983 and 555959001.

It is a congruent number.

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, 12929259 + ... + 12929301.

Almost surely, 2555959040 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 555959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148302848).

555959040 is an abundant number, since it is smaller than the sum of its proper divisors (1740646656).

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

555959040 is a wasteful number, since it uses less digits than its factorization.

555959040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 202500, while the sum is 42.

The square root of 555959040 is about 23578.7836836424. The cubic root of 555959040 is about 822.2696589248.

The spelling of 555959040 in words is "five hundred fifty-five million, nine hundred fifty-nine thousand, forty".