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42920740 = 22531371871
BaseRepresentation
bin1010001110111…
…0101100100100
32222202121012001
42203232230210
541441430430
64131535044
71030551232
oct243565444
988677161
1042920740
1122255a95
121245a484
138b7a0b5
1459b3952
153b7c3ca
hex28eeb24

42920740 has 48 divisors (see below), whose sum is σ = 95606784. Its totient is φ = 16156800.

The previous prime is 42920701. The next prime is 42920741. The reversal of 42920740 is 4702924.

42920740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42920699 and 42920708.

It is not an unprimeable number, because it can be changed into a prime (42920741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22005 + ... + 23875.

It is an arithmetic number, because the mean of its divisors is an integer number (1991808).

Almost surely, 242920740 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 42920740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47803392).

42920740 is an abundant number, since it is smaller than the sum of its proper divisors (52686044).

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

42920740 is a wasteful number, since it uses less digits than its factorization.

42920740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 42920740 is about 6551.3922184525. The cubic root of 42920740 is about 350.1244183514.

It can be divided in two parts, 42920 and 740, that added together give a triangular number (43660 = T295).

The spelling of 42920740 in words is "forty-two million, nine hundred twenty thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 31 37 62 74 124 148 155 185 310 370 620 740 1147 1871 2294 3742 4588 5735 7484 9355 11470 18710 22940 37420 58001 69227 116002 138454 232004 276908 290005 346135 580010 692270 1160020 1384540 2146037 4292074 8584148 10730185 21460370 42920740