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4042620 = 2232537607
BaseRepresentation
bin1111011010111101111100
321121101102200
433122331330
52013330440
6222351500
746235031
oct17327574
97541380
104042620
11231130a
12142b590
13ab70aa
14773388
1554cc30
hex3daf7c

4042620 has 72 divisors (see below), whose sum is σ = 12614784. Its totient is φ = 1047168.

The previous prime is 4042613. The next prime is 4042627. The reversal of 4042620 is 262404.

4042620 is a `hidden beast` number, since 4 + 0 + 42 + 620 = 666.

It is an interprime number because it is at equal distance from previous prime (4042613) and next prime (4042627).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 4042593 and 4042602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6357 + ... + 6963.

Almost surely, 24042620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6307392).

4042620 is an abundant number, since it is smaller than the sum of its proper divisors (8572164).

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

4042620 is a wasteful number, since it uses less digits than its factorization.

4042620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4042620 is about 2010.6267679507. The cubic root of 4042620 is about 159.3019065056.

The spelling of 4042620 in words is "four million, forty-two thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 607 666 740 1110 1214 1332 1665 1821 2220 2428 3035 3330 3642 5463 6070 6660 7284 9105 10926 12140 18210 21852 22459 27315 36420 44918 54630 67377 89836 109260 112295 134754 202131 224590 269508 336885 404262 449180 673770 808524 1010655 1347540 2021310 4042620