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5104640 = 2105997
BaseRepresentation
bin10011011110010000000000
3100121100020202
4103132100000
52301322030
6301224332
761250222
oct23362000
910540222
105104640
112977212
1218620a8
1310995c8
1496c412
156ac745
hex4de400

5104640 has 44 divisors (see below), whose sum is σ = 12257436. Its totient is φ = 2039808.

The previous prime is 5104633. The next prime is 5104661. The reversal of 5104640 is 464015.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3211264 + 1893376 = 1792^2 + 1376^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4622 + ... + 5618.

Almost surely, 25104640 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 5104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6128718).

5104640 is an abundant number, since it is smaller than the sum of its proper divisors (7152796).

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

5104640 is an equidigital number, since it uses as much as digits as its factorization.

5104640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 5104640 is about 2259.3450378373. The cubic root of 5104640 is about 172.1822477847.

Adding to 5104640 its reverse (464015), we get a palindrome (5568655).

It can be divided in two parts, 510 and 4640, that multiplied together give a triangular number (2366400 = T2175).

The spelling of 5104640 in words is "five million, one hundred four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 997 1024 1280 1994 2560 3988 4985 5120 7976 9970 15952 19940 31904 39880 63808 79760 127616 159520 255232 319040 510464 638080 1020928 1276160 2552320 5104640