Search a number
-
+
10736040 = 2335712781
BaseRepresentation
bin101000111101…
…000110101000
3202012110002010
4220331012220
510222023130
61022035520
7160153260
oct50750650
922173063
1010736040
116073167
123718ba0
1322bb8b3
1415d67a0
15e210b0
hexa3d1a8

10736040 has 64 divisors (see below), whose sum is σ = 36812160. Its totient is φ = 2453760.

The previous prime is 10736029. The next prime is 10736087. The reversal of 10736040 is 4063701.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10735998 and 10736016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5551 + ... + 7230.

It is an arithmetic number, because the mean of its divisors is an integer number (575190).

Almost surely, 210736040 is an apocalyptic number.

10736040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10736040 is an abundant number, since it is smaller than the sum of its proper divisors (26076120).

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

10736040 is a wasteful number, since it uses less digits than its factorization.

10736040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12802 (or 12798 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 10736040 is about 3276.5896905167. The cubic root of 10736040 is about 220.6046726157.

Adding to 10736040 its reverse (4063701), we get a palindrome (14799741).

The spelling of 10736040 in words is "ten million, seven hundred thirty-six thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 12781 25562 38343 51124 63905 76686 89467 102248 127810 153372 178934 191715 255620 268401 306744 357868 383430 447335 511240 536802 715736 766860 894670 1073604 1342005 1533720 1789340 2147208 2684010 3578680 5368020 10736040