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10040040 = 233251672
BaseRepresentation
bin100110010011…
…001011101000
3200220002100100
4212103023220
510032240130
6555105400
7151224153
oct46231350
920802310
1010040040
11573825a
123442260
132106b6a
141494c9a
15d34c60
hex9932e8

10040040 has 72 divisors (see below), whose sum is σ = 32826690. Its totient is φ = 2661312.

The previous prime is 10040011. The next prime is 10040057. The reversal of 10040040 is 4004001.

It can be written as a sum of positive squares in only one way, i.e., 9036036 + 1004004 = 3006^2 + 1002^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 17 ways as a sum of consecutive naturals, for example, 60037 + ... + 60203.

Almost surely, 210040040 is an apocalyptic number.

10040040 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 10040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16413345).

10040040 is an abundant number, since it is smaller than the sum of its proper divisors (22786650).

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

10040040 is a wasteful number, since it uses less digits than its factorization.

10040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 10040040 is about 3168.6022154887. The cubic root of 10040040 is about 215.7306312942.

Adding to 10040040 its reverse (4004001), we get a palindrome (14044041).

The spelling of 10040040 in words is "ten million, forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 167 180 334 360 501 668 835 1002 1336 1503 1670 2004 2505 3006 3340 4008 5010 6012 6680 7515 10020 12024 15030 20040 27889 30060 55778 60120 83667 111556 139445 167334 223112 251001 278890 334668 418335 502002 557780 669336 836670 1004004 1115560 1255005 1673340 2008008 2510010 3346680 5020020 10040040