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10714080 = 25351317101
BaseRepresentation
bin101000110111…
…101111100000
3202011022221210
4220313233200
510220322310
61021350120
7160032246
oct50675740
922138853
1010714080
116058713
123708340
1322b18c0
1415cc796
15e19820
hexa37be0

10714080 has 192 divisors, whose sum is σ = 38864448. Its totient is φ = 2457600.

The previous prime is 10714061. The next prime is 10714091. The reversal of 10714080 is 8041701.

It is a super-2 number, since 2×107140802 = 229583020492800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106030 + ... + 106130.

It is an arithmetic number, because the mean of its divisors is an integer number (202419).

Almost surely, 210714080 is an apocalyptic number.

10714080 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 10714080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19432224).

10714080 is an abundant number, since it is smaller than the sum of its proper divisors (28150368).

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

10714080 is a wasteful number, since it uses less digits than its factorization.

10714080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 10714080 is about 3273.2369300129. The cubic root of 10714080 is about 220.4541582295.

Adding to 10714080 its reverse (8041701), we get a palindrome (18755781).

It can be divided in two parts, 1071 and 4080, that added together give a triangular number (5151 = T101).

The spelling of 10714080 in words is "ten million, seven hundred fourteen thousand, eighty".