Search a number
-
+
2402020020 = 223537229243
BaseRepresentation
bin1000111100101011…
…1110101010110100
320012101211021000110
42033022332222310
514404404120040
61034203343020
7113344555551
oct21712765264
96171737013
102402020020
111022972214
12570521a70
132c384522a
1418b027a28
15e0d24980
hex8f2beab4

2402020020 has 72 divisors (see below), whose sum is σ = 6912579744. Its totient is φ = 623205504.

The previous prime is 2402020009. The next prime is 2402020037. The reversal of 2402020020 is 200202042.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2402019978 and 2402020005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67519 + ... + 96761.

It is an arithmetic number, because the mean of its divisors is an integer number (96008052).

Almost surely, 22402020020 is an apocalyptic number.

2402020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2402020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456289872).

2402020020 is an abundant number, since it is smaller than the sum of its proper divisors (4510559724).

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

2402020020 is a wasteful number, since it uses less digits than its factorization.

2402020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29329 (or 29290 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2402020020 is about 49010.4072621316. The cubic root of 2402020020 is about 1339.2414248130.

Adding to 2402020020 its reverse (200202042), we get a palindrome (2602222062).

The spelling of 2402020020 in words is "two billion, four hundred two million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 1369 2220 2738 4107 5476 6845 8214 13690 16428 20535 27380 29243 41070 58486 82140 87729 116972 146215 175458 292430 350916 438645 584860 877290 1081991 1754580 2163982 3245973 4327964 5409955 6491946 10819910 12983892 16229865 21639820 32459730 40033667 64919460 80067334 120101001 160134668 200168335 240202002 400336670 480404004 600505005 800673340 1201010010 2402020020