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2420011404 = 2234173114173
BaseRepresentation
bin1001000000111110…
…0111000110001100
320020122200022120000
42100033213012030
514424010331104
61040045124300
7113653520556
oct22017470614
96218608500
102420011404
111032040428
12576559690
132c74a4315
1418d58c4d6
15e26ca639
hex903e718c

2420011404 has 120 divisors (see below), whose sum is σ = 6915097728. Its totient is φ = 734676480.

The previous prime is 2420011369. The next prime is 2420011423. The reversal of 2420011404 is 4041100242.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 163662 + ... + 177834.

Almost surely, 22420011404 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 2420011404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3457548864).

2420011404 is an abundant number, since it is smaller than the sum of its proper divisors (4495086324).

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

2420011404 is a wasteful number, since it uses less digits than its factorization.

2420011404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14237 (or 14226 counting only the distinct ones).

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

The square root of 2420011404 is about 49193.6114144916. The cubic root of 2420011404 is about 1342.5767978288.

Adding to 2420011404 its reverse (4041100242), we get a palindrome (6461111646).

The spelling of 2420011404 in words is "two billion, four hundred twenty million, eleven thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 27 31 34 36 51 54 62 68 81 93 102 108 124 153 162 186 204 279 306 324 372 459 527 558 612 837 918 1054 1116 1377 1581 1674 1836 2108 2511 2754 3162 3348 4743 5022 5508 6324 9486 10044 14173 14229 18972 28346 28458 42519 42687 56692 56916 85038 85374 127557 170076 170748 240941 255114 382671 439363 481882 510228 722823 765342 878726 963764 1148013 1318089 1445646 1530684 1757452 2168469 2296026 2636178 2891292 3954267 4336938 4592052 5272356 6505407 7469171 7908534 8673876 11862801 13010814 14938342 15817068 19516221 22407513 23725602 26021628 29876684 35588403 39032442 44815026 47451204 67222539 71176806 78064884 89630052 134445078 142353612 201667617 268890156 403335234 605002851 806670468 1210005702 2420011404