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42020000 = 255411191
BaseRepresentation
bin1010000001001…
…0110010100000
32221001211121022
42200102302200
541224120000
64100345012
71020110201
oct240226240
987054538
1042020000
11217a0280
12120a5168
138923109
14581b5a8
153a50585
hex2812ca0

42020000 has 120 divisors (see below), whose sum is σ = 113363712. Its totient is φ = 15200000.

The previous prime is 42019981. The next prime is 42020003. The reversal of 42020000 is 2024.

42020000 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 42020000.

It is not an unprimeable number, because it can be changed into a prime (42020003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 219905 + ... + 220095.

Almost surely, 242020000 is an apocalyptic number.

42020000 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 42020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56681856).

42020000 is an abundant number, since it is smaller than the sum of its proper divisors (71343712).

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

42020000 is a wasteful number, since it uses less digits than its factorization.

42020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 42020000 is about 6482.2835482567. The cubic root of 42020000 is about 347.6578307591.

Adding to 42020000 its reverse (2024), we get a palindrome (42022024).

The spelling of 42020000 in words is "forty-two million, twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 191 200 220 250 275 352 382 400 440 500 550 625 764 800 880 955 1000 1100 1250 1375 1528 1760 1910 2000 2101 2200 2500 2750 3056 3820 4000 4202 4400 4775 5000 5500 6112 6875 7640 8404 8800 9550 10000 10505 11000 13750 15280 16808 19100 20000 21010 22000 23875 27500 30560 33616 38200 42020 44000 47750 52525 55000 67232 76400 84040 95500 105050 110000 119375 152800 168080 191000 210100 220000 238750 262625 336160 382000 420200 477500 525250 764000 840400 955000 1050500 1313125 1680800 1910000 2101000 2626250 3820000 4202000 5252500 8404000 10505000 21010000 42020000