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42603420 = 22351275591
BaseRepresentation
bin1010001010000…
…1001110011100
32222011110220110
42202201032130
541401302140
64121050020
71025060136
oct242411634
988143813
1042603420
1122059642
1212326910
138a98832
145930056
153b18380
hex28a139c

42603420 has 48 divisors (see below), whose sum is σ = 120250368. Its totient is φ = 11269440.

The previous prime is 42603409. The next prime is 42603439. The reversal of 42603420 is 2430624.

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, 4825 + ... + 10415.

It is an arithmetic number, because the mean of its divisors is an integer number (2505216).

Almost surely, 242603420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42603420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60125184).

42603420 is an abundant number, since it is smaller than the sum of its proper divisors (77646948).

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

42603420 is a wasteful number, since it uses less digits than its factorization.

42603420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5730 (or 5728 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 42603420 is about 6527.1295375532. The cubic root of 42603420 is about 349.2594409717.

It can be divided in two parts, 42 and 603420, that multiplied together give a triangular number (25343640 = T7119).

The spelling of 42603420 in words is "forty-two million, six hundred three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1524 1905 2540 3810 5591 7620 11182 16773 22364 27955 33546 55910 67092 83865 111820 167730 335460 710057 1420114 2130171 2840228 3550285 4260342 7100570 8520684 10650855 14201140 21301710 42603420