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5270100 = 22352111597
BaseRepresentation
bin10100000110101001010100
3100220202012220
4110012221110
52322120400
6304542340
762536503
oct24065124
910822186
105270100
112a7a560
1219219b0
131126a04
149b283a
156e17a0
hex506a54

5270100 has 72 divisors (see below), whose sum is σ = 16644768. Its totient is φ = 1276800.

The previous prime is 5270081. The next prime is 5270101. The reversal of 5270100 is 10725.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5270100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5270101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2502 + ... + 4098.

Almost surely, 25270100 is an apocalyptic number.

5270100 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 5270100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8322384).

5270100 is an abundant number, since it is smaller than the sum of its proper divisors (11374668).

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

5270100 is a wasteful number, since it uses less digits than its factorization.

5270100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 5270100 is about 2295.6698368886. The cubic root of 5270100 is about 174.0228533862.

Adding to 5270100 its reverse (10725), we get a palindrome (5280825).

The spelling of 5270100 in words is "five million, two hundred seventy thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1597 1650 3194 3300 4791 6388 7985 9582 15970 17567 19164 23955 31940 35134 39925 47910 52701 70268 79850 87835 95820 105402 119775 159700 175670 210804 239550 263505 351340 439175 479100 527010 878350 1054020 1317525 1756700 2635050 5270100