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4002240 = 263511379
BaseRepresentation
bin1111010001000111000000
321112100001010
433101013000
52011032430
6221440520
746006224
oct17210700
97470033
104002240
112293a40
121410140
13aa18b8
14762784
15540cb0
hex3d11c0

4002240 has 112 divisors (see below), whose sum is σ = 13898880. Its totient is φ = 967680.

The previous prime is 4002239. The next prime is 4002247. The reversal of 4002240 is 422004.

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 (4002247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10371 + ... + 10749.

Almost surely, 24002240 is an apocalyptic number.

4002240 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 4002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6949440).

4002240 is an abundant number, since it is smaller than the sum of its proper divisors (9896640).

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

4002240 is a wasteful number, since it uses less digits than its factorization.

4002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 400 counting only the distinct ones).

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

The square root of 4002240 is about 2000.5599216219. The cubic root of 4002240 is about 158.7697311536.

Adding to 4002240 its reverse (422004), we get a palindrome (4424244).

The spelling of 4002240 in words is "four million, two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 379 440 480 528 660 704 758 880 960 1056 1137 1320 1516 1760 1895 2112 2274 2640 3032 3520 3790 4169 4548 5280 5685 6064 7580 8338 9096 10560 11370 12128 12507 15160 16676 18192 20845 22740 24256 25014 30320 33352 36384 41690 45480 50028 60640 62535 66704 72768 83380 90960 100056 121280 125070 133408 166760 181920 200112 250140 266816 333520 363840 400224 500280 667040 800448 1000560 1334080 2001120 4002240