Search a number
-
+
2044213120 = 27543591259
BaseRepresentation
bin111100111011000…
…0011011110000000
312021110112210020001
41321312003132000
513141304304440
6534502325344
7101441345005
oct17166033600
95243483201
102044213120
119599a5634
12490729854
13267687781
141556c78ac
15be6e7b9a
hex79d83780

2044213120 has 128 divisors (see below), whose sum is σ = 5089392000. Its totient is φ = 784508928.

The previous prime is 2044213117. The next prime is 2044213139. The reversal of 2044213120 is 213124402.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 1623051 + ... + 1624309.

It is an arithmetic number, because the mean of its divisors is an integer number (39760875).

Almost surely, 22044213120 is an apocalyptic number.

2044213120 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 2044213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544696000).

2044213120 is an abundant number, since it is smaller than the sum of its proper divisors (3045178880).

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

2044213120 is a wasteful number, since it uses less digits than its factorization.

2044213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2044213120 is about 45212.9751288278. The cubic root of 2044213120 is about 1269.1376376430.

Adding to 2044213120 its reverse (213124402), we get a palindrome (2257337522).

The spelling of 2044213120 in words is "two billion, forty-four million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 59 64 80 86 118 128 160 172 215 236 295 320 344 430 472 590 640 688 860 944 1180 1259 1376 1720 1888 2360 2518 2537 2752 3440 3776 4720 5036 5074 5504 6295 6880 7552 9440 10072 10148 12590 12685 13760 18880 20144 20296 25180 25370 27520 37760 40288 40592 50360 50740 54137 74281 80576 81184 100720 101480 108274 148562 161152 162368 201440 202960 216548 270685 297124 324736 371405 402880 405920 433096 541370 594248 742810 805760 811840 866192 1082740 1188496 1485620 1623680 1732384 2165480 2376992 2971240 3194083 3464768 4330960 4753984 5942480 6388166 6929536 8661920 9507968 11884960 12776332 15970415 17323840 23769920 25552664 31940830 34647680 47539840 51105328 63881660 102210656 127763320 204421312 255526640 408842624 511053280 1022106560 2044213120