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27068904 = 2334371129
BaseRepresentation
bin110011101000…
…0100111101000
31212221020120000
41213100213220
523412201104
62404103000
7446040042
oct147204750
955836500
1027068904
11143092a5
129094a60
1357b9b05
143848a92
15259a639
hex19d09e8

27068904 has 80 divisors (see below), whose sum is σ = 77936100. Its totient is φ = 8771328.

The previous prime is 27068903. The next prime is 27068969. The reversal of 27068904 is 40986072.

It can be written as a sum of positive squares in 2 ways, for example, as 27060804 + 8100 = 5202^2 + 90^2 .

It is a super-2 number, since 2×270689042 = 1465451127522432, which contains 22 as substring.

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 (27068903) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23412 + ... + 24540.

Almost surely, 227068904 is an apocalyptic number.

27068904 is a gapful number since it is divisible by the number (24) 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 27068904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38968050).

27068904 is an abundant number, since it is smaller than the sum of its proper divisors (50867196).

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

27068904 is a wasteful number, since it uses less digits than its factorization.

With its successor (27068905) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1184).

27068904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 27068904 is about 5202.7784884617. The cubic root of 27068904 is about 300.2549832171.

It can be divided in two parts, 27068 and 904, that added together give a palindrome (27972).

The spelling of 27068904 in words is "twenty-seven million, sixty-eight thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 296 324 333 444 648 666 888 999 1129 1332 1998 2258 2664 2997 3387 3996 4516 5994 6774 7992 9032 10161 11988 13548 20322 23976 27096 30483 40644 41773 60966 81288 83546 91449 121932 125319 167092 182898 243864 250638 334184 365796 375957 501276 731592 751914 1002552 1127871 1503828 2255742 3007656 3383613 4511484 6767226 9022968 13534452 27068904