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42011320 = 23513173467
BaseRepresentation
bin1010000001000…
…0101010111000
32221001101200211
42200100222320
541223330240
64100240504
71020042661
oct240205270
987041624
1042011320
11217947aa
12120a0134
13891c190
145818368
153a4cbea
hex2810ab8

42011320 has 64 divisors (see below), whose sum is σ = 102604320. Its totient is φ = 15389184.

The previous prime is 42011311. The next prime is 42011323. The reversal of 42011320 is 2311024.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 42011320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42011323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89727 + ... + 90193.

Almost surely, 242011320 is an apocalyptic number.

42011320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51302160).

42011320 is an abundant number, since it is smaller than the sum of its proper divisors (60593000).

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

42011320 is a wasteful number, since it uses less digits than its factorization.

42011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 42011320 is about 6481.6139965290. The cubic root of 42011320 is about 347.6338907482.

Adding to 42011320 its reverse (2311024), we get a palindrome (44322344).

The spelling of 42011320 in words is "forty-two million, eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 173 260 346 467 520 692 865 934 1384 1730 1868 2249 2335 3460 3736 4498 4670 6071 6920 8996 9340 11245 12142 17992 18680 22490 24284 30355 44980 48568 60710 80791 89960 121420 161582 242840 323164 403955 646328 807910 1050283 1615820 2100566 3231640 4201132 5251415 8402264 10502830 21005660 42011320