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5079040 = 215531
BaseRepresentation
bin10011011000000000000000
3100120001010121
4103120000000
52300012130
6300510024
761112461
oct23300000
910501117
105079040
112959a5a
12184b314
13108aa65
14962d68
156a4d7a
hex4d8000

5079040 has 64 divisors (see below), whose sum is σ = 12582720. Its totient is φ = 1966080.

The previous prime is 5079037. The next prime is 5079047. The reversal of 5079040 is 409705.

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 = 5078996 and 5079014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5079047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 163825 + ... + 163855.

It is an arithmetic number, because the mean of its divisors is an integer number (196605).

Almost surely, 25079040 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 5079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6291360).

5079040 is an abundant number, since it is smaller than the sum of its proper divisors (7503680).

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

5079040 is an frugal number, since it uses more digits than its factorization.

5079040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 5079040 is about 2253.6725582924. The cubic root of 5079040 is about 171.8939313582.

The spelling of 5079040 in words is "five million, seventy-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 256 310 320 496 512 620 640 992 1024 1240 1280 1984 2048 2480 2560 3968 4096 4960 5120 7936 8192 9920 10240 15872 16384 19840 20480 31744 32768 39680 40960 63488 79360 81920 126976 158720 163840 253952 317440 507904 634880 1015808 1269760 2539520 5079040