Search a number
-
+
2402004120 = 2335171177453
BaseRepresentation
bin1000111100101011…
…1010110010011000
320012101210110012120
42033022322302120
514404403112440
61034203141240
7113344461315
oct21712726230
96171713176
102402004120
11102296127a
12570514820
132c383ac19
1418b021d0c
15e0d1edd0
hex8f2bac98

2402004120 has 64 divisors (see below), whose sum is σ = 7629901920. Its totient is φ = 602855424.

The previous prime is 2402004109. The next prime is 2402004131. The reversal of 2402004120 is 214002042.

2402004120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2402004109) and next prime (2402004131).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2402004120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 586687 + ... + 590766.

Almost surely, 22402004120 is an apocalyptic number.

2402004120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2402004120 is an abundant number, since it is smaller than the sum of its proper divisors (5227897800).

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

2402004120 is a wasteful number, since it uses less digits than its factorization.

2402004120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177484 (or 1177480 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2402004120 is about 49010.2450514176. The cubic root of 2402004120 is about 1339.2384698021.

Adding to 2402004120 its reverse (214002042), we get a palindrome (2616006162).

The spelling of 2402004120 in words is "two billion, four hundred two million, four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 1177453 2354906 3532359 4709812 5887265 7064718 9419624 11774530 14129436 17661795 20016701 23549060 28258872 35323590 40033402 47098120 60050103 70647180 80066804 100083505 120100206 141294360 160133608 200167010 240200412 300250515 400334020 480400824 600501030 800668040 1201002060 2402004120