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20002440 = 23351931283
BaseRepresentation
bin100110001001…
…1011010001000
31101122020012010
41030103122020
520110034230
61552415520
7332006103
oct114233210
941566163
1020002440
1110322147
1268475a0
1341b4583
14292973a
151b519b0
hex1313688

20002440 has 128 divisors (see below), whose sum is σ = 65433600. Its totient is φ = 4872960.

The previous prime is 20002429. The next prime is 20002453. The reversal of 20002440 is 4420002.

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 unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70539 + ... + 70821.

It is an arithmetic number, because the mean of its divisors is an integer number (511200).

Almost surely, 220002440 is an apocalyptic number.

20002440 is a gapful number since it is divisible by the number (20) 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 20002440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32716800).

20002440 is an abundant number, since it is smaller than the sum of its proper divisors (45431160).

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

20002440 is a wasteful number, since it uses less digits than its factorization.

20002440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 343 counting only the distinct ones).

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

The square root of 20002440 is about 4472.4087469729. The cubic root of 20002440 is about 271.4527998423.

Adding to 20002440 its reverse (4420002), we get a palindrome (24422442).

The spelling of 20002440 in words is "twenty million, two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 31 38 40 57 60 62 76 93 95 114 120 124 152 155 186 190 228 248 283 285 310 372 380 456 465 566 570 589 620 744 760 849 930 1132 1140 1178 1240 1415 1698 1767 1860 2264 2280 2356 2830 2945 3396 3534 3720 4245 4712 5377 5660 5890 6792 7068 8490 8773 8835 10754 11320 11780 14136 16131 16980 17546 17670 21508 23560 26319 26885 32262 33960 35092 35340 43016 43865 52638 53770 64524 70184 70680 80655 87730 105276 107540 129048 131595 161310 166687 175460 210552 215080 263190 322620 333374 350920 500061 526380 645240 666748 833435 1000122 1052760 1333496 1666870 2000244 2500305 3333740 4000488 5000610 6667480 10001220 20002440