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5351040 = 27325929
BaseRepresentation
bin10100011010011010000000
3101001212020200
4110122122000
52332213130
6310405200
763324462
oct24323200
911055220
105351040
113025352
121960800
1311547c6
149d4132
1570a760
hex51a680

5351040 has 96 divisors (see below), whose sum is σ = 18497700. Its totient is φ = 1425408.

The previous prime is 5351011. The next prime is 5351041. The reversal of 5351040 is 401535.

It can be written as a sum of positive squares in 2 ways, for example, as 4562496 + 788544 = 2136^2 + 888^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5351041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5296 + ... + 6224.

Almost surely, 25351040 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 5351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9248850).

5351040 is an abundant number, since it is smaller than the sum of its proper divisors (13146660).

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

5351040 is a wasteful number, since it uses less digits than its factorization.

5351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5351040 is about 2313.2315059241. The cubic root of 5351040 is about 174.9092318405.

Adding to 5351040 its reverse (401535), we get a palindrome (5752575).

The spelling of 5351040 in words is "five million, three hundred fifty-one thousand, forty".

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 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 929 960 1152 1440 1858 1920 2787 2880 3716 4645 5574 5760 7432 8361 9290 11148 13935 14864 16722 18580 22296 27870 29728 33444 37160 41805 44592 55740 59456 66888 74320 83610 89184 111480 118912 133776 148640 167220 178368 222960 267552 297280 334440 356736 445920 535104 594560 668880 891840 1070208 1337760 1783680 2675520 5351040