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2021401404 = 223211113199227
BaseRepresentation
bin111100001111100…
…0010001100111100
312012212121211102200
41320133002030330
513114434321104
6532325351500
7101043425361
oct17037021474
95185554380
102021401404
11948034880
12484b68590
13262a2b609
1415266a468
15bc6ddb39
hex787c233c

2021401404 has 144 divisors (see below), whose sum is σ = 5676652800. Its totient is φ = 601413120.

The previous prime is 2021401399. The next prime is 2021401409. The reversal of 2021401404 is 4041041202.

It is an interprime number because it is at equal distance from previous prime (2021401399) and next prime (2021401409).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021401409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8904739 + ... + 8904965.

It is an arithmetic number, because the mean of its divisors is an integer number (39421200).

Almost surely, 22021401404 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 2021401404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838326400).

2021401404 is an abundant number, since it is smaller than the sum of its proper divisors (3655251396).

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

2021401404 is a wasteful number, since it uses less digits than its factorization.

2021401404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2021401404 is about 44959.9978202846. The cubic root of 2021401404 is about 1264.3991280483.

Adding to 2021401404 its reverse (4041041202), we get a palindrome (6062442606).

The spelling of 2021401404 in words is "two billion, twenty-one million, four hundred one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 113 132 198 199 226 227 339 396 398 452 454 597 678 681 796 908 1017 1194 1243 1356 1362 1791 2034 2043 2189 2388 2486 2497 2724 3582 3729 4068 4086 4378 4972 4994 6567 7164 7458 7491 8172 8756 9988 11187 13134 14916 14982 19701 22374 22473 22487 25651 26268 29964 39402 44748 44946 44974 45173 51302 67461 76953 78804 89892 89948 90346 102604 134922 135519 153906 180692 202383 230859 247357 269844 271038 282161 307812 404766 406557 461718 494714 496903 542076 564322 742071 809532 813114 846483 923436 989428 993806 1128644 1484142 1490709 1626228 1692966 1987612 2226213 2539449 2968284 2981418 3385932 4452426 4472127 5078898 5104549 5962836 8904852 8944254 10157796 10209098 15313647 17888508 20418196 30627294 45940941 56150039 61254588 91881882 112300078 168450117 183763764 224600156 336900234 505350351 673800468 1010700702 2021401404