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7066368 = 28323067
BaseRepresentation
bin11010111101001100000000
3111022000020100
4122331030000
53302110433
6411242400
7114030441
oct32751400
914260210
107066368
113a97081
122449400
1316054aa
14d1d2c8
15948b13
hex6bd300

7066368 has 54 divisors (see below), whose sum is σ = 20380724. Its totient is φ = 2354688.

The previous prime is 7066351. The next prime is 7066379. The reversal of 7066368 is 8636607.

It is a happy number.

It is a super-2 number, since 2×70663682 = 99867113422848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 771 + ... + 3837.

Almost surely, 27066368 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 7066368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10190362).

7066368 is an abundant number, since it is smaller than the sum of its proper divisors (13314356).

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

7066368 is a wasteful number, since it uses less digits than its factorization.

7066368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3089 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 7066368 is about 2658.2640952321. The cubic root of 7066368 is about 191.8957767681.

It can be divided in two parts, 70663 and 68, that multiplied together give a palindrome (4805084).

The spelling of 7066368 in words is "seven million, sixty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 3067 6134 9201 12268 18402 24536 27603 36804 49072 55206 73608 98144 110412 147216 196288 220824 294432 392576 441648 588864 785152 883296 1177728 1766592 2355456 3533184 7066368