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9941940 = 2234517192
BaseRepresentation
bin100101111011…
…001110110100
3200201002210000
4211323032310
510021120230
6553031300
7150335151
oct45731664
920632700
109941940
115680588
1233b5530
1320a1308
14146b228
15d15b60
hex97b3b4

9941940 has 180 divisors, whose sum is σ = 34852356. Its totient is φ = 2363904.

The previous prime is 9941927. The next prime is 9941951. The reversal of 9941940 is 491499.

It can be written as a sum of positive squares in 2 ways, for example, as 5731236 + 4210704 = 2394^2 + 2052^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a junction number, because it is equal to n+sod(n) for n = 9941895 and 9941904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 523251 + ... + 523269.

Almost surely, 29941940 is an apocalyptic number.

9941940 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 9941940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17426178).

9941940 is an abundant number, since it is smaller than the sum of its proper divisors (24910416).

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

9941940 is a wasteful number, since it uses less digits than its factorization.

9941940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 9941940 is about 3153.0842043942. The cubic root of 9941940 is about 215.0257045164.

The spelling of 9941940 in words is "nine million, nine hundred forty-one thousand, nine hundred forty".