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10832140 = 2251153929
BaseRepresentation
bin101001010100…
…100100001100
3202101022220101
4221110210030
510233112030
61024100444
7161033404
oct51244414
922338811
1010832140
116129390
123764724
132323567
14161d804
15e3e7ca
hexa5490c

10832140 has 48 divisors (see below), whose sum is σ = 25310880. Its totient is φ = 3860480.

The previous prime is 10832123. The next prime is 10832153. The reversal of 10832140 is 4123801.

10832140 = T143 + T144 + ... + T407.

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11196 + ... + 12124.

It is an arithmetic number, because the mean of its divisors is an integer number (527310).

Almost surely, 210832140 is an apocalyptic number.

10832140 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 10832140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12655440).

10832140 is an abundant number, since it is smaller than the sum of its proper divisors (14478740).

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

10832140 is a wasteful number, since it uses less digits than its factorization.

10832140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 10832140 is about 3291.2216576828. The cubic root of 10832140 is about 221.2609408658.

Adding to 10832140 its reverse (4123801), we get a palindrome (14955941).

It can be divided in two parts, 1083 and 2140, that added together give a palindrome (3223).

The spelling of 10832140 in words is "ten million, eight hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 583 929 1060 1166 1858 2332 2915 3716 4645 5830 9290 10219 11660 18580 20438 40876 49237 51095 98474 102190 196948 204380 246185 492370 541607 984740 1083214 2166428 2708035 5416070 10832140