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7000272 = 2432173281
BaseRepresentation
bin11010101101000011010000
3111011122120100
4122231003100
53243002042
6410012400
7113333646
oct32550320
914148510
107000272
113a51454
122417100
1315b1396
14d03196
1593424c
hex6ad0d0

7000272 has 60 divisors (see below), whose sum is σ = 19774404. Its totient is φ = 2311680.

The previous prime is 7000267. The next prime is 7000297. The reversal of 7000272 is 2720007.

It can be written as a sum of positive squares in 2 ways, for example, as 5645376 + 1354896 = 2376^2 + 1164^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24772 + ... + 25052.

Almost surely, 27000272 is an apocalyptic number.

7000272 is a gapful number since it is divisible by the number (72) 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 7000272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9887202).

7000272 is an abundant number, since it is smaller than the sum of its proper divisors (12774132).

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

7000272 is a wasteful number, since it uses less digits than its factorization.

7000272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 7000272 is about 2645.8027137336. The cubic root of 7000272 is about 191.2955959465.

Adding to 7000272 its reverse (2720007), we get a palindrome (9720279).

The spelling of 7000272 in words is "seven million, two hundred seventy-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 173 281 346 519 562 692 843 1038 1124 1384 1557 1686 2076 2248 2529 2768 3114 3372 4152 4496 5058 6228 6744 8304 10116 12456 13488 20232 24912 40464 48613 97226 145839 194452 291678 388904 437517 583356 777808 875034 1166712 1750068 2333424 3500136 7000272