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42973020 = 223251811319
BaseRepresentation
bin1010001111101…
…1011101011100
32222212020220100
42203323131130
542000114040
64133021100
71031156526
oct243733534
988766810
1042973020
11222912a2
1212484790
138b97b2c
1459c8a16
153b8cb30
hex28fb75c

42973020 has 72 divisors (see below), whose sum is σ = 131171040. Its totient is φ = 11387520.

The previous prime is 42973013. The next prime is 42973031. The reversal of 42973020 is 2037924.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31921 + ... + 33239.

It is an arithmetic number, because the mean of its divisors is an integer number (1821820).

Almost surely, 242973020 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 42973020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65585520).

42973020 is an abundant number, since it is smaller than the sum of its proper divisors (88198020).

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

42973020 is a wasteful number, since it uses less digits than its factorization.

42973020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 42973020 is about 6555.3809957927. The cubic root of 42973020 is about 350.2665180887.

The spelling of 42973020 in words is "forty-two million, nine hundred seventy-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 181 362 543 724 905 1086 1319 1629 1810 2172 2638 2715 3258 3620 3957 5276 5430 6516 6595 7914 8145 10860 11871 13190 15828 16290 19785 23742 26380 32580 39570 47484 59355 79140 118710 237420 238739 477478 716217 954956 1193695 1432434 2148651 2387390 2864868 3581085 4297302 4774780 7162170 8594604 10743255 14324340 21486510 42973020