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27321140 = 225711113157
BaseRepresentation
bin110100000111…
…0001100110100
31220102001120002
41220032030310
523443234030
62413330432
7451140320
oct150161464
956361502
1027321140
1114470860
129196a18
135877872
1438b2980
1525ea245
hex1a0e334

27321140 has 96 divisors (see below), whose sum is σ = 72624384. Its totient is φ = 8386560.

The previous prime is 27321127. The next prime is 27321149. The reversal of 27321140 is 4112372.

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 (27321149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173942 + ... + 174098.

It is an arithmetic number, because the mean of its divisors is an integer number (756504).

Almost surely, 227321140 is an apocalyptic number.

27321140 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 27321140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36312192).

27321140 is an abundant number, since it is smaller than the sum of its proper divisors (45303244).

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

27321140 is a wasteful number, since it uses less digits than its factorization.

27321140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 27321140 is about 5226.9627892305. The cubic root of 27321140 is about 301.1847226892.

The spelling of 27321140 in words is "twenty-seven million, three hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 113 140 154 157 220 226 308 314 385 452 565 628 770 785 791 1099 1130 1243 1540 1570 1582 1727 2198 2260 2486 3140 3164 3454 3955 4396 4972 5495 6215 6908 7910 8635 8701 10990 12089 12430 15820 17270 17402 17741 21980 24178 24860 34540 34804 35482 43505 48356 60445 70964 87010 88705 120890 124187 174020 177410 195151 241780 248374 354820 390302 496748 620935 780604 975755 1241870 1366057 1951510 2483740 2732114 3903020 5464228 6830285 13660570 27321140