Search a number
-
+
2026736420 = 225373837151
BaseRepresentation
bin111100011001101…
…1000101100100100
312020020122212200212
41320303120230210
513122321031140
6533035554552
7101136655352
oct17063305444
95206585625
102026736420
11950049085
124868bba58
13263b78a27
141532587d2
15bcde4765
hex78cd8b24

2026736420 has 48 divisors (see below), whose sum is σ = 4383203328. Its totient is φ = 786614400.

The previous prime is 2026736419. The next prime is 2026736423. The reversal of 2026736420 is 246376202.

It is not an unprimeable number, because it can be changed into a prime (2026736423) 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, 279845 + ... + 286995.

It is an arithmetic number, because the mean of its divisors is an integer number (91316736).

Almost surely, 22026736420 is an apocalyptic number.

2026736420 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 2026736420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2191601664).

2026736420 is an abundant number, since it is smaller than the sum of its proper divisors (2356466908).

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

2026736420 is a wasteful number, since it uses less digits than its factorization.

2026736420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7580 (or 7578 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 2026736420 is about 45019.2894213136. The cubic root of 2026736420 is about 1265.5105127512.

The spelling of 2026736420 in words is "two billion, twenty-six million, seven hundred thirty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 383 740 766 1532 1915 3830 7151 7660 14171 14302 28342 28604 35755 56684 70855 71510 141710 143020 264587 283420 529174 1058348 1322935 2645870 2738833 5291740 5477666 10955332 13694165 27388330 54776660 101336821 202673642 405347284 506684105 1013368210 2026736420