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9944064 = 210321383
BaseRepresentation
bin100101111011…
…110000000000
3200201012200200
4211323300000
510021202224
6553045200
7150344304
oct45736000
920635620
109944064
115682139
1233b6800
1320a2280
14146bd04
15d165c9
hex97bc00

9944064 has 132 divisors (see below), whose sum is σ = 31294536. Its totient is φ = 3022848.

The previous prime is 9944063. The next prime is 9944069. The reversal of 9944064 is 4604499.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9944063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119767 + ... + 119849.

Almost surely, 29944064 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 9944064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15647268).

9944064 is an abundant number, since it is smaller than the sum of its proper divisors (21350472).

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

9944064 is a wasteful number, since it uses less digits than its factorization.

9944064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 9944064 is about 3153.4209994861. The cubic root of 9944064 is about 215.0410161517.

The spelling of 9944064 in words is "nine million, nine hundred forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 83 96 104 117 128 144 156 166 192 208 234 249 256 288 312 332 384 416 468 498 512 576 624 664 747 768 832 936 996 1024 1079 1152 1248 1328 1494 1536 1664 1872 1992 2158 2304 2496 2656 2988 3072 3237 3328 3744 3984 4316 4608 4992 5312 5976 6474 6656 7488 7968 8632 9216 9711 9984 10624 11952 12948 13312 14976 15936 17264 19422 19968 21248 23904 25896 29952 31872 34528 38844 39936 42496 47808 51792 59904 63744 69056 77688 84992 95616 103584 119808 127488 138112 155376 191232 207168 254976 276224 310752 382464 414336 552448 621504 764928 828672 1104896 1243008 1657344 2486016 3314688 4972032 9944064