Search a number
-
+
10831890 = 2351767317
BaseRepresentation
bin101001010100…
…100000010010
3202101022120010
4221110200102
510233110030
61024055350
7161032566
oct51244022
922338503
1010831890
116129183
123764556
132323404
14161d6a6
15e3e6b0
hexa54812

10831890 has 64 divisors (see below), whose sum is σ = 28024704. Its totient is φ = 2669568.

The previous prime is 10831889. The next prime is 10831897. The reversal of 10831890 is 9813801.

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

It is not an unprimeable number, because it can be changed into a prime (10831897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34012 + ... + 34328.

It is an arithmetic number, because the mean of its divisors is an integer number (437886).

Almost surely, 210831890 is an apocalyptic number.

10831890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10831890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14012352).

10831890 is an abundant number, since it is smaller than the sum of its proper divisors (17192814).

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

10831890 is a wasteful number, since it uses less digits than its factorization.

10831890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411.

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 10831890 is about 3291.1836776455. The cubic root of 10831890 is about 221.2592386579.

The spelling of 10831890 in words is "ten million, eight hundred thirty-one thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 67 85 102 134 170 201 255 317 335 402 510 634 670 951 1005 1139 1585 1902 2010 2278 3170 3417 4755 5389 5695 6834 9510 10778 11390 16167 17085 21239 26945 32334 34170 42478 53890 63717 80835 106195 127434 161670 212390 318585 361063 637170 722126 1083189 1805315 2166378 3610630 5415945 10831890