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2045321520 = 2435113720939
BaseRepresentation
bin111100111101001…
…0010000100110000
312021112122002122220
41321322102010300
513142100242040
6534542201040
7101453642334
oct17172220460
95245562586
102045321520
1195a592370
12490b83180
13267985128
141558d57c4
15be8662d0
hex79e92130

2045321520 has 160 divisors (see below), whose sum is σ = 7104188160. Its totient is φ = 482411520.

The previous prime is 2045321497. The next prime is 2045321581. The reversal of 2045321520 is 251235402.

It is a super-2 number, since 2×20453215202 = 8366680240350220800, which contains 22 as substring.

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

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, 87211 + ... + 108149.

It is an arithmetic number, because the mean of its divisors is an integer number (44401176).

Almost surely, 22045321520 is an apocalyptic number.

2045321520 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 2045321520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3552094080).

2045321520 is an abundant number, since it is smaller than the sum of its proper divisors (5058866640).

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

2045321520 is a wasteful number, since it uses less digits than its factorization.

2045321520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21003 (or 20997 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2045321520 is about 45225.2310110186. The cubic root of 2045321520 is about 1269.3669773947.

Adding to 2045321520 its reverse (251235402), we get a palindrome (2296556922).

The spelling of 2045321520 in words is "two billion, forty-five million, three hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 37 40 44 48 55 60 66 74 80 88 110 111 120 132 148 165 176 185 220 222 240 264 296 330 370 407 440 444 528 555 592 660 740 814 880 888 1110 1221 1320 1480 1628 1776 2035 2220 2442 2640 2960 3256 4070 4440 4884 6105 6512 8140 8880 9768 12210 16280 19536 20939 24420 32560 41878 48840 62817 83756 97680 104695 125634 167512 209390 230329 251268 314085 335024 418780 460658 502536 628170 690987 774743 837560 921316 1005072 1151645 1256340 1381974 1549486 1675120 1842632 2303290 2324229 2512680 2763948 3098972 3454935 3685264 3873715 4606580 4648458 5025360 5527896 6197944 6909870 7747430 8522173 9213160 9296916 11055792 11621145 12395888 13819740 15494860 17044346 18426320 18593832 23242290 25566519 27639480 30989720 34088692 37187664 42610865 46484580 51133038 55278960 61979440 68177384 85221730 92969160 102266076 127832595 136354768 170443460 185938320 204532152 255665190 340886920 409064304 511330380 681773840 1022660760 2045321520