Search a number
-
+
2041442520 = 2335132814657
BaseRepresentation
bin111100110101101…
…1111000011011000
312021021100000200020
41321223133003120
513140102130040
6534323110440
7101405655315
oct17153370330
95237300606
102041442520
11958382a87
1248b812420
13266c27670
141551a5d0c
15be34bcd0
hex79adf0d8

2041442520 has 128 divisors (see below), whose sum is σ = 6620322240. Its totient is φ = 500613120.

The previous prime is 2041442461. The next prime is 2041442563. The reversal of 2041442520 is 252441402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436032 + ... + 440688.

Almost surely, 22041442520 is an apocalyptic number.

2041442520 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 2041442520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310161120).

2041442520 is an abundant number, since it is smaller than the sum of its proper divisors (4578879720).

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

2041442520 is a wasteful number, since it uses less digits than its factorization.

2041442520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4965 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2041442520 is about 45182.3253053669. The cubic root of 2041442520 is about 1268.5640081975.

Adding to 2041442520 its reverse (252441402), we get a palindrome (2293883922).

The spelling of 2041442520 in words is "two billion, forty-one million, four hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 281 312 390 520 562 780 843 1124 1405 1560 1686 2248 2810 3372 3653 4215 4657 5620 6744 7306 8430 9314 10959 11240 13971 14612 16860 18265 18628 21918 23285 27942 29224 33720 36530 37256 43836 46570 54795 55884 60541 69855 73060 87672 93140 109590 111768 121082 139710 146120 181623 186280 219180 242164 279420 302705 363246 438360 484328 558840 605410 726492 908115 1210820 1308617 1452984 1816230 2421640 2617234 3632460 3925851 5234468 6543085 7264920 7851702 10468936 13086170 15703404 17012021 19629255 26172340 31406808 34024042 39258510 51036063 52344680 68048084 78517020 85060105 102072126 136096168 157034040 170120210 204144252 255180315 340240420 408288504 510360630 680480840 1020721260 2041442520