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4002020204 = 22713113149653
BaseRepresentation
bin1110111010001001…
…1111101101101100
3101022220111200122112
43232202133231230
531144004121304
61501041103152
7201113416250
oct35642375554
911286450575
104002020204
111774044016
12938327ab8
134ba17b0c0
1429d71c260
15186523b6e
hexee89fb6c

4002020204 has 96 divisors (see below), whose sum is σ = 8767785600. Its totient is φ = 1556287488.

The previous prime is 4002020203. The next prime is 4002020207. The reversal of 4002020204 is 4020202004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (4002020203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6128342 + ... + 6128994.

It is an arithmetic number, because the mean of its divisors is an integer number (91331100).

Almost surely, 24002020204 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 4002020204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4383892800).

4002020204 is an abundant number, since it is smaller than the sum of its proper divisors (4765765396).

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

4002020204 is a wasteful number, since it uses less digits than its factorization.

4002020204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 4002020204 is about 63261.5223022652. The cubic root of 4002020204 is about 1587.6682464872.

Adding to 4002020204 its reverse (4020202004), we get a palindrome (8022222208).

The spelling of 4002020204 in words is "four billion, two million, twenty thousand, two hundred four".

Divisors: 1 2 4 7 13 14 26 28 52 91 113 149 182 226 298 364 452 596 653 791 1043 1306 1469 1582 1937 2086 2612 2938 3164 3874 4172 4571 5876 7748 8489 9142 10283 13559 16837 16978 18284 20566 27118 33674 33956 41132 54236 59423 67348 73789 97297 117859 118846 147578 194594 218881 235718 237692 295156 389188 437762 471436 516523 681079 875524 959257 1033046 1264861 1362158 1532167 1918514 2066092 2529722 2724316 3064334 3837028 5059444 6128668 6714799 8854027 10994561 13429598 17708054 21989122 26859196 35416108 43978244 76961927 142929293 153923854 285858586 307847708 571717172 1000505051 2001010102 4002020204