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42073220 = 22571915817
BaseRepresentation
bin1010000001111…
…1110010000100
32221011112121102
42200133302010
541232320340
64101435232
71020421310
oct240376204
987145542
1042073220
1121827262
121210bb18
1389413c7
145832b40
153a61215
hex281fc84

42073220 has 48 divisors (see below), whose sum is σ = 106296960. Its totient is φ = 13665024.

The previous prime is 42073219. The next prime is 42073223. The reversal of 42073220 is 2237024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 42073192 and 42073201.

It is not an unprimeable number, because it can be changed into a prime (42073223) by changing a digit.

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, 5249 + ... + 10568.

It is an arithmetic number, because the mean of its divisors is an integer number (2214520).

Almost surely, 242073220 is an apocalyptic number.

It is an amenable number.

42073220 is an abundant number, since it is smaller than the sum of its proper divisors (64223740).

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

42073220 is a wasteful number, since it uses less digits than its factorization.

42073220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15852 (or 15850 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 42073220 is about 6486.3872841513. The cubic root of 42073220 is about 347.8045429908.

The spelling of 42073220 in words is "forty-two million, seventy-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 15817 31634 63268 79085 110719 158170 221438 300523 316340 442876 553595 601046 1107190 1202092 1502615 2103661 2214380 3005230 4207322 6010460 8414644 10518305 21036610 42073220