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42066420 = 22351163737
BaseRepresentation
bin1010000001111…
…0000111110100
32221011012021120
42200132013310
541232111140
64101343540
71020362424
oct240360764
987135246
1042066420
1121822140
1212107bb0
13893b296
145830484
153a5e1d0
hex281e1f4

42066420 has 48 divisors (see below), whose sum is σ = 128495808. Its totient is φ = 10197760.

The previous prime is 42066407. The next prime is 42066433. The reversal of 42066420 is 2466024.

It is an interprime number because it is at equal distance from previous prime (42066407) and next prime (42066433).

It is a congruent number.

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, 31209 + ... + 32528.

It is an arithmetic number, because the mean of its divisors is an integer number (2676996).

Almost surely, 242066420 is an apocalyptic number.

It is an amenable number.

42066420 is an abundant number, since it is smaller than the sum of its proper divisors (86429388).

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

42066420 is a wasteful number, since it uses less digits than its factorization.

42066420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63760 (or 63758 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 42066420 is about 6485.8630882867. The cubic root of 42066420 is about 347.7858042434.

It can be divided in two parts, 42066 and 420, that added together give a triangular number (42486 = T291).

The spelling of 42066420 in words is "forty-two million, sixty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 63737 127474 191211 254948 318685 382422 637370 701107 764844 956055 1274740 1402214 1912110 2103321 2804428 3505535 3824220 4206642 7011070 8413284 10516605 14022140 21033210 42066420