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2602004420 = 2251015412381
BaseRepresentation
bin1001101100010111…
…0110111111000100
320201100010112001002
42123011312333010
520312103120140
61110105552432
7121323446501
oct23305667704
96640115032
102602004420
111115844484
126074a5718
133260c53b2
141a98044a8
15103679415
hex9b176fc4

2602004420 has 48 divisors (see below), whose sum is σ = 5530832496. Its totient is φ = 1028160000.

The previous prime is 2602004417. The next prime is 2602004423. The reversal of 2602004420 is 244002062.

It is an interprime number because it is at equal distance from previous prime (2602004417) and next prime (2602004423).

It can be written as a sum of positive squares in 8 ways, for example, as 110796676 + 2491207744 = 10526^2 + 49912^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2602004392 and 2602004401.

It is not an unprimeable number, because it can be changed into a prime (2602004423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1091630 + ... + 1094010.

It is an arithmetic number, because the mean of its divisors is an integer number (115225677).

Almost surely, 22602004420 is an apocalyptic number.

2602004420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2602004420 is an abundant number, since it is smaller than the sum of its proper divisors (2928828076).

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

2602004420 is a wasteful number, since it uses less digits than its factorization.

2602004420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3032 (or 3030 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2602004420 is about 51009.8463044146. The cubic root of 2602004420 is about 1375.4221372739.

Adding to 2602004420 its reverse (244002062), we get a palindrome (2846006482).

The spelling of 2602004420 in words is "two billion, six hundred two million, four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 541 1010 1082 2020 2164 2381 2705 4762 5410 9524 10820 11905 23810 47620 54641 109282 218564 240481 273205 480962 546410 961924 1092820 1202405 1288121 2404810 2576242 4809620 5152484 6440605 12881210 25762420 130100221 260200442 520400884 650501105 1301002210 2602004420