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4022040 = 2335112277
BaseRepresentation
bin1111010101111100011000
321120100012110
433111330120
52012201130
6222112320
746121031
oct17257430
97510173
104022040
1122a7900
12141b6a0
13aaa909
14769a88
15546ab0
hex3d5f18

4022040 has 96 divisors (see below), whose sum is σ = 13310640. Its totient is φ = 971520.

The previous prime is 4022027. The next prime is 4022041. The reversal of 4022040 is 402204.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14382 + ... + 14658.

Almost surely, 24022040 is an apocalyptic number.

4022040 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 4022040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6655320).

4022040 is an abundant number, since it is smaller than the sum of its proper divisors (9288600).

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

4022040 is a wasteful number, since it uses less digits than its factorization.

4022040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 4022040 is about 2005.5024308138. The cubic root of 4022040 is about 159.0311240048.

Adding to 4022040 its reverse (402204), we get a palindrome (4424244).

It can be divided in two parts, 402 and 2040, that added together give a palindrome (2442).

The spelling of 4022040 in words is "four million, twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 277 330 363 440 484 554 605 660 726 831 968 1108 1210 1320 1385 1452 1662 1815 2216 2420 2770 2904 3047 3324 3630 4155 4840 5540 6094 6648 7260 8310 9141 11080 12188 14520 15235 16620 18282 24376 30470 33240 33517 36564 45705 60940 67034 73128 91410 100551 121880 134068 167585 182820 201102 268136 335170 365640 402204 502755 670340 804408 1005510 1340680 2011020 4022040