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27214040 = 2357831171
BaseRepresentation
bin110011111010…
…0000011011000
31220012121122102
41213310003120
523431322130
62411142532
7450213140
oct147640330
956177572
1027214040
11143a8347
129144a48
13583aba9
143885920
1525c8645
hex19f40d8

27214040 has 64 divisors (see below), whose sum is σ = 70882560. Its totient is φ = 9210240.

The previous prime is 27214039. The next prime is 27214043. The reversal of 27214040 is 4041272.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27214043) 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, 22655 + ... + 23825.

It is an arithmetic number, because the mean of its divisors is an integer number (1107540).

Almost surely, 227214040 is an apocalyptic number.

27214040 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 27214040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35441280).

27214040 is an abundant number, since it is smaller than the sum of its proper divisors (43668520).

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

27214040 is a wasteful number, since it uses less digits than its factorization.

27214040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 27214040 is about 5216.7077740659. The cubic root of 27214040 is about 300.7906551250.

The spelling of 27214040 in words is "twenty-seven million, two hundred fourteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 83 140 166 280 332 415 581 664 830 1162 1171 1660 2324 2342 2905 3320 4648 4684 5810 5855 8197 9368 11620 11710 16394 23240 23420 32788 40985 46840 65576 81970 97193 163940 194386 327880 388772 485965 680351 777544 971930 1360702 1943860 2721404 3401755 3887720 5442808 6803510 13607020 27214040