Search a number
-
+
817420540 = 225437611249
BaseRepresentation
bin110000101110001…
…101100011111100
32002222010021011211
4300232031203330
53133224424130
6213040054204
726153650156
oct6056154374
92088107154
10817420540
1138a45a172
121a9904364
131004721c1
147a7c1ad6
154bb68a2a
hex30b8d8fc

817420540 has 48 divisors (see below), whose sum is σ = 1760220000. Its totient is φ = 318689280.

The previous prime is 817420519. The next prime is 817420543. The reversal of 817420540 is 45024718.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (817420543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 653836 + ... + 655084.

It is an arithmetic number, because the mean of its divisors is an integer number (36671250).

Almost surely, 2817420540 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 817420540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880110000).

817420540 is an abundant number, since it is smaller than the sum of its proper divisors (942799460).

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

817420540 is a wasteful number, since it uses less digits than its factorization.

817420540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 817420540 is about 28590.5673256058. The cubic root of 817420540 is about 935.0076886515.

The spelling of 817420540 in words is "eight hundred seventeen million, four hundred twenty thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 761 860 1249 1522 2498 3044 3805 4996 6245 7610 12490 15220 24980 32723 53707 65446 107414 130892 163615 214828 268535 327230 537070 654460 950489 1074140 1900978 3801956 4752445 9504890 19009780 40871027 81742054 163484108 204355135 408710270 817420540