[go: up one dir, main page]

Search a number
-
+
5045100 = 2235267251
BaseRepresentation
bin10011001111101101101100
3100111022120120
4103033231230
52242420400
6300044540
760611514
oct23175554
910438516
105045100
112936505
121833750
131078488
14954844
15699ca0
hex4cfb6c

5045100 has 72 divisors (see below), whose sum is σ = 14874048. Its totient is φ = 1320000.

The previous prime is 5045087. The next prime is 5045113. The reversal of 5045100 is 15405.

It is an interprime number because it is at equal distance from previous prime (5045087) and next prime (5045113).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5045100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19975 + ... + 20225.

It is an arithmetic number, because the mean of its divisors is an integer number (206584).

Almost surely, 25045100 is an apocalyptic number.

5045100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5045100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7437024).

5045100 is an abundant number, since it is smaller than the sum of its proper divisors (9828948).

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

5045100 is a wasteful number, since it uses less digits than its factorization.

5045100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 5045100 is about 2246.1300051422. The cubic root of 5045100 is about 171.5101893098.

It can be divided in two parts, 50 and 45100, that added together give a triangular number (45150 = T300).

The spelling of 5045100 in words is "five million, forty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 134 150 201 251 268 300 335 402 502 670 753 804 1004 1005 1255 1340 1506 1675 2010 2510 3012 3350 3765 4020 5020 5025 6275 6700 7530 10050 12550 15060 16817 18825 20100 25100 33634 37650 50451 67268 75300 84085 100902 168170 201804 252255 336340 420425 504510 840850 1009020 1261275 1681700 2522550 5045100