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5035520 = 2957281
BaseRepresentation
bin10011001101011000000000
3100110211102202
4103031120000
52242114040
6255532332
760541550
oct23153000
910424382
105035520
11292a296
12182a0a8
131073cc9
14951160
15697015
hex4cd600

5035520 has 80 divisors (see below), whose sum is σ = 13847328. Its totient is φ = 1720320.

The previous prime is 5035507. The next prime is 5035529. The reversal of 5035520 is 255305.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 5035492 and 5035501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5035529) 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, 17780 + ... + 18060.

Almost surely, 25035520 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 5035520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6923664).

5035520 is an abundant number, since it is smaller than the sum of its proper divisors (8811808).

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

5035520 is an equidigital number, since it uses as much as digits as its factorization.

5035520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 20.

The square root of 5035520 is about 2243.9964349348. The cubic root of 5035520 is about 171.4015618823.

It can be divided in two parts, 5035 and 520, that added together give a palindrome (5555).

The spelling of 5035520 in words is "five million, thirty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 281 320 448 512 560 562 640 896 1120 1124 1280 1405 1792 1967 2240 2248 2560 2810 3584 3934 4480 4496 5620 7868 8960 8992 9835 11240 15736 17920 17984 19670 22480 31472 35968 39340 44960 62944 71936 78680 89920 125888 143872 157360 179840 251776 314720 359680 503552 629440 719360 1007104 1258880 2517760 5035520