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9970048 = 27117397
BaseRepresentation
bin100110000010…
…000110000000
3200202112100001
4212002012000
510023020143
6553405344
7150513124
oct46020600
920675301
109970048
11569a710
123409854
1320b104a
141477584
15d1e14d
hex982180

9970048 has 64 divisors (see below), whose sum is σ = 22191120. Its totient is φ = 4423680.

The previous prime is 9970027. The next prime is 9970049. The reversal of 9970048 is 8400799.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 9969989 and 9970016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9970049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102736 + ... + 102832.

Almost surely, 29970048 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 9970048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11095560).

9970048 is an abundant number, since it is smaller than the sum of its proper divisors (12221072).

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

9970048 is a wasteful number, since it uses less digits than its factorization.

9970048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 9970048 is about 3157.5382816365. The cubic root of 9970048 is about 215.2281551311.

The spelling of 9970048 in words is "nine million, nine hundred seventy thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 73 88 97 128 146 176 194 292 352 388 584 704 776 803 1067 1168 1408 1552 1606 2134 2336 3104 3212 4268 4672 6208 6424 7081 8536 9344 12416 12848 14162 17072 25696 28324 34144 51392 56648 68288 77891 102784 113296 136576 155782 226592 311564 453184 623128 906368 1246256 2492512 4985024 9970048