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27234840 = 2335733109
BaseRepresentation
bin110011111100…
…1001000011000
31220020200011210
41213321020120
523433003330
62411423120
7450330603
oct147711030
956220153
1027234840
1114411a36
129154aa0
1358474b9
14388d33a
1525ce8b0
hex19f9218

27234840 has 64 divisors (see below), whose sum is σ = 82850400. Its totient is φ = 7160832.

The previous prime is 27234839. The next prime is 27234841. The reversal of 27234840 is 4843272.

It is an interprime number because it is at equal distance from previous prime (27234839) and next prime (27234841).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 27234798 and 27234807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27234841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7206 + ... + 10314.

Almost surely, 227234840 is an apocalyptic number.

27234840 is a gapful number since it is divisible by the number (20) 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 27234840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41425200).

27234840 is an abundant number, since it is smaller than the sum of its proper divisors (55615560).

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

27234840 is a wasteful number, since it uses less digits than its factorization.

27234840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3196 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 27234840 is about 5218.7009877938. The cubic root of 27234840 is about 300.8672681815.

The spelling of 27234840 in words is "twenty-seven million, two hundred thirty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 3109 4380 6218 8760 9327 12436 15545 18654 24872 31090 37308 46635 62180 74616 93270 124360 186540 226957 373080 453914 680871 907828 1134785 1361742 1815656 2269570 2723484 3404355 4539140 5446968 6808710 9078280 13617420 27234840