Search a number
-
+
861405390 = 232521145361
BaseRepresentation
bin110011010110000…
…000000011001110
32020000212221001100
4303112000003032
53231004433030
6221250523530
730226552656
oct6326000316
92200787040
10861405390
1140227168a
122005965a6
13109602741
1482591366
1550956360
hex335800ce

861405390 has 48 divisors (see below), whose sum is σ = 2250318096. Its totient is φ = 228614400.

The previous prime is 861405371. The next prime is 861405397. The reversal of 861405390 is 93504168.

861405390 is a `hidden beast` number, since 8 + 614 + 0 + 5 + 39 + 0 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (861405397) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3691 + ... + 41670.

It is an arithmetic number, because the mean of its divisors is an integer number (46881627).

Almost surely, 2861405390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 861405390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125159048).

861405390 is an abundant number, since it is smaller than the sum of its proper divisors (1388912706).

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

861405390 is a wasteful number, since it uses less digits than its factorization.

861405390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45585 (or 45582 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 861405390 is about 29349.7085164402. The cubic root of 861405390 is about 951.4862755398.

The spelling of 861405390 in words is "eight hundred sixty-one million, four hundred five thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 211 422 633 1055 1266 1899 2110 3165 3798 6330 9495 18990 45361 90722 136083 226805 272166 408249 453610 680415 816498 1360830 2041245 4082490 9571171 19142342 28713513 47855855 57427026 86140539 95711710 143567565 172281078 287135130 430702695 861405390