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9944040 = 2335173479
BaseRepresentation
bin100101111011…
…101111101000
3200201012122210
4211323233220
510021202130
6553045120
7150344241
oct45735750
920635583
109944040
115682117
1233b67a0
1320a2262
14146bcc8
15d165b0
hex97bbe8

9944040 has 64 divisors (see below), whose sum is σ = 30067200. Its totient is φ = 2630912.

The previous prime is 9944029. The next prime is 9944041. The reversal of 9944040 is 404499.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 9943989 and 9944007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9944041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20521 + ... + 20999.

It is an arithmetic number, because the mean of its divisors is an integer number (469800).

Almost surely, 29944040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9944040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15033600).

9944040 is an abundant number, since it is smaller than the sum of its proper divisors (20123160).

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

9944040 is a wasteful number, since it uses less digits than its factorization.

9944040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 9944040 is about 3153.4171940928. The cubic root of 9944040 is about 215.0408431510.

The spelling of 9944040 in words is "nine million, nine hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 173 346 479 519 692 865 958 1038 1384 1437 1730 1916 2076 2395 2595 2874 3460 3832 4152 4790 5190 5748 6920 7185 9580 10380 11496 14370 19160 20760 28740 57480 82867 165734 248601 331468 414335 497202 662936 828670 994404 1243005 1657340 1988808 2486010 3314680 4972020 9944040