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27464920 = 2357472087
BaseRepresentation
bin110100011000…
…1010011011000
31220200100210021
41220301103120
524012334140
62420400224
7452306440
oct150612330
956610707
1027464920
111455988a
129246074
1358c8142
14390d120
152627b4a
hex1a314d8

27464920 has 64 divisors (see below), whose sum is σ = 72161280. Its totient is φ = 9211776.

The previous prime is 27464909. The next prime is 27464933. The reversal of 27464920 is 2946472.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12117 + ... + 14203.

It is an arithmetic number, because the mean of its divisors is an integer number (1127520).

Almost surely, 227464920 is an apocalyptic number.

27464920 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 27464920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36080640).

27464920 is an abundant number, since it is smaller than the sum of its proper divisors (44696360).

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

27464920 is a wasteful number, since it uses less digits than its factorization.

27464920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 27464920 is about 5240.6984267367. The cubic root of 27464920 is about 301.7121359719.

The spelling of 27464920 in words is "twenty-seven million, four hundred sixty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 280 329 376 470 658 940 1316 1645 1880 2087 2632 3290 4174 6580 8348 10435 13160 14609 16696 20870 29218 41740 58436 73045 83480 98089 116872 146090 196178 292180 392356 490445 584360 686623 784712 980890 1373246 1961780 2746492 3433115 3923560 5492984 6866230 13732460 27464920