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42010320 = 24351115913
BaseRepresentation
bin1010000001000…
…0011011010000
32221001100022210
42200100123100
541223312240
64100232120
71020040032
oct240203320
987040283
1042010320
1121793a80
121209b640
13891b8a1
145817c52
153a4c780
hex28106d0

42010320 has 80 divisors (see below), whose sum is σ = 142080192. Its totient is φ = 10183680.

The previous prime is 42010303. The next prime is 42010361. The reversal of 42010320 is 2301024.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 42010296 and 42010305.

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, 5317 + ... + 10596.

Almost surely, 242010320 is an apocalyptic number.

42010320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42010320 is an abundant number, since it is smaller than the sum of its proper divisors (100069872).

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

42010320 is a wasteful number, since it uses less digits than its factorization.

42010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15940 (or 15934 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 42010320 is about 6481.5368547899. The cubic root of 42010320 is about 347.6311324706.

Adding to 42010320 its reverse (2301024), we get a palindrome (44311344).

The spelling of 42010320 in words is "forty-two million, ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 15913 31826 47739 63652 79565 95478 127304 159130 175043 190956 238695 254608 318260 350086 381912 477390 525129 636520 700172 763824 875215 954780 1050258 1273040 1400344 1750430 1909560 2100516 2625645 2800688 3500860 3819120 4201032 5251290 7001720 8402064 10502580 14003440 21005160 42010320