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5831040 = 27353037
BaseRepresentation
bin10110001111100110000000
3101222020200110
4112033212000
52443043130
6324551320
7100364055
oct26174600
911866613
105831040
113322a46
121b52540
131292127
14abb02c
157a2ab0
hex58f980

5831040 has 64 divisors (see below), whose sum is σ = 18592560. Its totient is φ = 1554432.

The previous prime is 5831009. The next prime is 5831041. The reversal of 5831040 is 401385.

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 = 5830998 and 5831016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5831041) 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, 402 + ... + 3438.

Almost surely, 25831040 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 5831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9296280).

5831040 is an abundant number, since it is smaller than the sum of its proper divisors (12761520).

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

5831040 is a wasteful number, since it uses less digits than its factorization.

5831040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3059 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 5831040 is about 2414.7546459216. The cubic root of 5831040 is about 179.9901229148.

The spelling of 5831040 in words is "five million, eight hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 3037 6074 9111 12148 15185 18222 24296 30370 36444 45555 48592 60740 72888 91110 97184 121480 145776 182220 194368 242960 291552 364440 388736 485920 583104 728880 971840 1166208 1457760 1943680 2915520 5831040