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7465068 = 2233132409
BaseRepresentation
bin11100011110100001101100
3112001021011000
4130132201230
53402340233
6424000300
7120311022
oct34364154
915037130
107465068
114239686
122600090
131714b00
14dc4712
159c6d13
hex71e86c

7465068 has 72 divisors (see below), whose sum is σ = 21008400. Its totient is φ = 2291328.

The previous prime is 7465063. The next prime is 7465097. The reversal of 7465068 is 8605647.

It is a happy number.

7465068 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (7465063) 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, 18048 + ... + 18456.

Almost surely, 27465068 is an apocalyptic number.

7465068 is a gapful number since it is divisible by the number (78) 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 7465068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10504200).

7465068 is an abundant number, since it is smaller than the sum of its proper divisors (13543332).

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

7465068 is a wasteful number, since it uses less digits than its factorization.

7465068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7465068 is about 2732.2276625494. The cubic root of 7465068 is about 195.4390108964.

The spelling of 7465068 in words is "seven million, four hundred sixty-five thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 169 234 338 351 409 468 507 676 702 818 1014 1227 1404 1521 1636 2028 2454 3042 3681 4563 4908 5317 6084 7362 9126 10634 11043 14724 15951 18252 21268 22086 31902 44172 47853 63804 69121 95706 138242 143559 191412 207363 276484 287118 414726 574236 622089 829452 1244178 1866267 2488356 3732534 7465068