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990973440 = 2938559
BaseRepresentation
bin111011000100010…
…000111000000000
32120001200200000000
4323010100320000
54012142122230
6242200000000
733362064252
oct7304207000
92501620000
10990973440
11469419016
12237a60000
1312a3c9722
149587bcd2
155beebb60
hex3b110e00

990973440 has 360 divisors, whose sum is σ = 3624243480. Its totient is φ = 259780608.

The previous prime is 990973433. The next prime is 990973447. The reversal of 990973440 is 44379099.

It is an interprime number because it is at equal distance from previous prime (990973433) and next prime (990973447).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990973447) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16796131 + ... + 16796189.

It is an arithmetic number, because the mean of its divisors is an integer number (10067343).

Almost surely, 2990973440 is an apocalyptic number.

990973440 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812121740).

990973440 is an abundant number, since it is smaller than the sum of its proper divisors (2633270040).

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

990973440 is an frugal number, since it uses more digits than its factorization.

990973440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 990973440 is about 31479.7306214650. The cubic root of 990973440 is about 996.9820477937.

The spelling of 990973440 in words is "nine hundred ninety million, nine hundred seventy-three thousand, four hundred forty".