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27029640 = 23351120477
BaseRepresentation
bin110011100011…
…1000010001000
31212212020200210
41213013002020
523404422030
62403201120
7445514421
oct147070210
955766623
1027029640
1114291850
1290761a0
1357a4c91
143838648
15258dbb0
hex19c7088

27029640 has 64 divisors (see below), whose sum is σ = 88464960. Its totient is φ = 6552320.

The previous prime is 27029633. The next prime is 27029707. The reversal of 27029640 is 4692072.

It is a happy number.

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 = 27029598 and 27029607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8919 + ... + 11558.

It is an arithmetic number, because the mean of its divisors is an integer number (1382265).

Almost surely, 227029640 is an apocalyptic number.

27029640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27029640 is an abundant number, since it is smaller than the sum of its proper divisors (61435320).

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

27029640 is a wasteful number, since it uses less digits than its factorization.

27029640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20502 (or 20498 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 27029640 is about 5199.0037507199. The cubic root of 27029640 is about 300.1097376317.

The spelling of 27029640 in words is "twenty-seven million, twenty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 20477 40954 61431 81908 102385 122862 163816 204770 225247 245724 307155 409540 450494 491448 614310 675741 819080 900988 1126235 1228620 1351482 1801976 2252470 2457240 2702964 3378705 4504940 5405928 6757410 9009880 13514820 27029640