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10523040 = 2535111993
BaseRepresentation
bin101000001001…
…000110100000
3201210121220020
4220021012200
510143214130
61013313440
7155305263
oct50110640
921717806
1010523040
115a38130
123635880
132245968
14157ccda
15dcce10
hexa091a0

10523040 has 96 divisors (see below), whose sum is σ = 36179136. Its totient is φ = 2549760.

The previous prime is 10523021. The next prime is 10523047. The reversal of 10523040 is 4032501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105230402 = 221468741683200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10523047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4284 + ... + 6276.

It is an arithmetic number, because the mean of its divisors is an integer number (376866).

Almost surely, 210523040 is an apocalyptic number.

10523040 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 10523040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18089568).

10523040 is an abundant number, since it is smaller than the sum of its proper divisors (25656096).

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

10523040 is a wasteful number, since it uses less digits than its factorization.

10523040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 10523040 is about 3243.9235502706. The cubic root of 10523040 is about 219.1360052589.

Adding to 10523040 its reverse (4032501), we get a palindrome (14555541).

The spelling of 10523040 in words is "ten million, five hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 1993 2640 3986 5280 5979 7972 9965 11958 15944 19930 21923 23916 29895 31888 39860 43846 47832 59790 63776 65769 79720 87692 95664 109615 119580 131538 159440 175384 191328 219230 239160 263076 318880 328845 350768 438460 478320 526152 657690 701536 876920 956640 1052304 1315380 1753840 2104608 2630760 3507680 5261520 10523040