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9601040 = 245432791
BaseRepresentation
bin100100101000…
…000000010000
3200001210011002
4210220000100
54424213130
6541441132
7144415241
oct44500020
920053132
109601040
115468449
1232701a8
131cb20b7
1413bccc8
15c99b45
hex928010

9601040 has 40 divisors (see below), whose sum is σ = 22849728. Its totient is φ = 3749760.

The previous prime is 9601027. The next prime is 9601057. The reversal of 9601040 is 401069.

9601040 = 952 + 962 + ... + 3092.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2045 + ... + 4835.

Almost surely, 29601040 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 9601040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11424864).

9601040 is an abundant number, since it is smaller than the sum of its proper divisors (13248688).

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

9601040 is a wasteful number, since it uses less digits than its factorization.

9601040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2847 (or 2841 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 9601040 is about 3098.5545016991. The cubic root of 9601040 is about 212.5393883157.

The spelling of 9601040 in words is "nine million, six hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 2791 3440 5582 11164 13955 22328 27910 44656 55820 111640 120013 223280 240026 480052 600065 960104 1200130 1920208 2400260 4800520 9601040