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5376960 = 263251867
BaseRepresentation
bin10100100000101111000000
3101010011210200
4110200233000
52334030320
6311125200
763463161
oct24405700
911104720
105376960
113042876
121973800
131163544
149dd768
15713290
hex520bc0

5376960 has 84 divisors (see below), whose sum is σ = 18504408. Its totient is φ = 1433088.

The previous prime is 5376953. The next prime is 5376979. The reversal of 5376960 is 696735.

It is a happy number.

5376960 is a `hidden beast` number, since 537 + 69 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1947 + ... + 3813.

Almost surely, 25376960 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 5376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9252204).

5376960 is an abundant number, since it is smaller than the sum of its proper divisors (13127448).

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

5376960 is a wasteful number, since it uses less digits than its factorization.

5376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 5376960 is about 2318.8272898170. The cubic root of 5376960 is about 175.1911924014.

It can be divided in two parts, 5376 and 960, that added together give a palindrome (6336).

The spelling of 5376960 in words is "five million, three hundred seventy-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 1867 2880 3734 5601 7468 9335 11202 14936 16803 18670 22404 28005 29872 33606 37340 44808 56010 59744 67212 74680 84015 89616 112020 119488 134424 149360 168030 179232 224040 268848 298720 336060 358464 448080 537696 597440 672120 896160 1075392 1344240 1792320 2688480 5376960