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4002203240 = 2357176011399
BaseRepresentation
bin1110111010001100…
…1100011001101000
3101022220211222201122
43232203030121220
531144031000430
61501045034412
7201115111010
oct35643143150
911286758648
104002203240
111774159592
129383b5a08
134ba2134c9
1429d768c40
1518655cee5
hexee8cc668

4002203240 has 128 divisors (see below), whose sum is σ = 10922688000. Its totient is φ = 1288396800.

The previous prime is 4002203209. The next prime is 4002203273. The reversal of 4002203240 is 423022004.

4002203240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 2860061 + ... + 2861459.

It is an arithmetic number, because the mean of its divisors is an integer number (85333500).

Almost surely, 24002203240 is an apocalyptic number.

4002203240 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 4002203240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5461344000).

4002203240 is an abundant number, since it is smaller than the sum of its proper divisors (6920484760).

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

4002203240 is a wasteful number, since it uses less digits than its factorization.

4002203240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 4002203240 is about 63262.9689470863. The cubic root of 4002203240 is about 1587.6924505975.

Adding to 4002203240 its reverse (423022004), we get a palindrome (4425225244).

The spelling of 4002203240 in words is "four billion, two million, two hundred three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 601 680 952 1190 1202 1399 2380 2404 2798 3005 4207 4760 4808 5596 6010 6995 8414 9793 10217 11192 12020 13990 16828 19586 20434 21035 23783 24040 27980 33656 39172 40868 42070 47566 48965 51085 55960 71519 78344 81736 84140 95132 97930 102170 118915 143038 166481 168280 190264 195860 204340 237830 286076 332962 357595 391720 408680 475660 572152 665924 715190 832405 840799 951320 1331848 1430380 1664810 1681598 2860760 3329620 3363196 4203995 5885593 6659240 6726392 8407990 11771186 14293583 16815980 23542372 28587166 29427965 33631960 47084744 57174332 58855930 71467915 100055081 114348664 117711860 142935830 200110162 235423720 285871660 400220324 500275405 571743320 800440648 1000550810 2001101620 4002203240