Search a number
-
+
5019520 = 275112331
BaseRepresentation
bin10011001001011110000000
3100110000111011
4103021132000
52241111040
6255330304
760444112
oct23113600
910400434
105019520
112919270
121820994
13106993c
149493b2
156923ea
hex4c9780

5019520 has 128 divisors (see below), whose sum is σ = 14100480. Its totient is φ = 1689600.

The previous prime is 5019491. The next prime is 5019529. The reversal of 5019520 is 259105.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 5019491 and 5019500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5019529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161905 + ... + 161935.

It is an arithmetic number, because the mean of its divisors is an integer number (110160).

Almost surely, 25019520 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 5019520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7050240).

5019520 is an abundant number, since it is smaller than the sum of its proper divisors (9080960).

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

5019520 is a wasteful number, since it uses less digits than its factorization.

5019520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 5019520 is about 2240.4285304379. The cubic root of 5019520 is about 171.2198305849.

The spelling of 5019520 in words is "five million, nineteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 31 32 40 44 46 55 62 64 80 88 92 110 115 124 128 155 160 176 184 220 230 248 253 310 320 341 352 368 440 460 496 506 620 640 682 704 713 736 880 920 992 1012 1240 1265 1364 1408 1426 1472 1705 1760 1840 1984 2024 2480 2530 2728 2852 2944 3410 3520 3565 3680 3968 4048 4960 5060 5456 5704 6820 7040 7130 7360 7843 8096 9920 10120 10912 11408 13640 14260 14720 15686 16192 19840 20240 21824 22816 27280 28520 31372 32384 39215 40480 43648 45632 54560 57040 62744 78430 80960 91264 109120 114080 125488 156860 161920 218240 228160 250976 313720 456320 501952 627440 1003904 1254880 2509760 5019520