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4202040 = 233519297
BaseRepresentation
bin10000000001111000111000
321220111010010
4100001320320
52033431130
6230021520
750500563
oct20017070
97814103
104202040
112410067
1214a78a0
13b4181b
147b54da
155800b0
hex401e38

4202040 has 96 divisors (see below), whose sum is σ = 13441680. Its totient is φ = 1050624.

The previous prime is 4202027. The next prime is 4202047. The reversal of 4202040 is 402024.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4202047) 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, 43272 + ... + 43368.

Almost surely, 24202040 is an apocalyptic number.

4202040 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 4202040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6720840).

4202040 is an abundant number, since it is smaller than the sum of its proper divisors (9239640).

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

4202040 is a wasteful number, since it uses less digits than its factorization.

4202040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 126 counting only the distinct ones).

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

The square root of 4202040 is about 2049.8878018077. The cubic root of 4202040 is about 161.3689825524.

Adding to 4202040 its reverse (402024), we get a palindrome (4604064).

The spelling of 4202040 in words is "four million, two hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 97 114 120 152 190 194 228 285 291 361 380 388 456 485 570 582 722 760 776 970 1083 1140 1164 1444 1455 1805 1843 1940 2166 2280 2328 2888 2910 3610 3686 3880 4332 5415 5529 5820 7220 7372 8664 9215 10830 11058 11640 14440 14744 18430 21660 22116 27645 35017 36860 43320 44232 55290 70034 73720 105051 110580 140068 175085 210102 221160 280136 350170 420204 525255 700340 840408 1050510 1400680 2101020 4202040