Search a number
-
+
2032421520 = 243515753939
BaseRepresentation
bin111100100100100…
…0100101010010000
312020122100201012010
41321021010222100
513130244442040
6533401502520
7101236204113
oct17111045220
95218321163
102032421520
11953281408
124887a1a40
132650b95ac
14153cd857a
15bd668e80
hex79244a90

2032421520 has 80 divisors (see below), whose sum is σ = 6340754880. Its totient is φ = 538516992.

The previous prime is 2032421491. The next prime is 2032421539. The reversal of 2032421520 is 251242302.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×20324215202 = 8261474469918220800, which contains 22 as substring.

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, 10711 + ... + 64649.

It is an arithmetic number, because the mean of its divisors is an integer number (79259436).

Almost surely, 22032421520 is an apocalyptic number.

2032421520 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 2032421520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170377440).

2032421520 is an abundant number, since it is smaller than the sum of its proper divisors (4308333360).

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

2032421520 is a wasteful number, since it uses less digits than its factorization.

2032421520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54112 (or 54106 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2032421520 is about 45082.3859173403. The cubic root of 2032421520 is about 1266.6926821373.

Adding to 2032421520 its reverse (251242302), we get a palindrome (2283663822).

The spelling of 2032421520 in words is "two billion, thirty-two million, four hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 157 240 314 471 628 785 942 1256 1570 1884 2355 2512 3140 3768 4710 6280 7536 9420 12560 18840 37680 53939 107878 161817 215756 269695 323634 431512 539390 647268 809085 863024 1078780 1294536 1618170 2157560 2589072 3236340 4315120 6472680 8468423 12945360 16936846 25405269 33873692 42342115 50810538 67747384 84684230 101621076 127026345 135494768 169368460 203242152 254052690 338736920 406484304 508105380 677473840 1016210760 2032421520