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9940035 = 357137691
BaseRepresentation
bin100101111010…
…110001000011
3200201000011110
4211322301003
510021040120
6553014403
7150326460
oct45726103
920630143
109940035
11567a106
1233b4403
1320a04a1
14146a667
15d152e0
hex97ac43

9940035 has 32 divisors (see below), whose sum is σ = 18335232. Its totient is φ = 4504320.

The previous prime is 9940031. The next prime is 9940039. The reversal of 9940035 is 5300499.

9940035 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9940031) and next prime (9940039).

It is not a de Polignac number, because 9940035 - 22 = 9940031 is a prime.

It is an Ulam number.

9940035 is strictly pandigital in base 8.

9940035 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 9939984 and 9940011.

It is not an unprimeable number, because it can be changed into a prime (9940031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14040 + ... + 14730.

It is an arithmetic number, because the mean of its divisors is an integer number (572976).

Almost surely, 29940035 is an apocalyptic number.

9940035 is a deficient number, since it is larger than the sum of its proper divisors (8395197).

9940035 is a wasteful number, since it uses less digits than its factorization.

9940035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843.

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 9940035 is about 3152.7821047450. The cubic root of 9940035 is about 215.0119697681.

The spelling of 9940035 in words is "nine million, nine hundred forty thousand, thirty-five".

Divisors: 1 3 5 7 15 21 35 105 137 411 685 691 959 2055 2073 2877 3455 4795 4837 10365 14385 14511 24185 72555 94667 284001 473335 662669 1420005 1988007 3313345 9940035