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2132555520 = 2835836691
BaseRepresentation
bin111111100011100…
…0011011100000000
312111121210001012210
41333013003130000
513331413234040
6551340022120
7103563265014
oct17707033400
95447701183
102132555520
119a4854587
124b6231940
1327ca79094
14163322544
15c7348480
hex7f1c3700

2132555520 has 144 divisors (see below), whose sum is σ = 6893937792. Its totient is φ = 561745920.

The previous prime is 2132555507. The next prime is 2132555527. The reversal of 2132555520 is 255552312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132555527) 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, 315375 + ... + 322065.

It is an arithmetic number, because the mean of its divisors is an integer number (47874568).

Almost surely, 22132555520 is an apocalyptic number.

2132555520 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 2132555520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3446968896).

2132555520 is an abundant number, since it is smaller than the sum of its proper divisors (4761382272).

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

2132555520 is an equidigital number, since it uses as much as digits as its factorization.

2132555520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6798 (or 6784 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The square root of 2132555520 is about 46179.6006912143. The cubic root of 2132555520 is about 1287.1627082652.

The spelling of 2132555520 in words is "two billion, one hundred thirty-two million, five hundred fifty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 83 96 120 128 160 166 192 240 249 256 320 332 384 415 480 498 640 664 768 830 960 996 1245 1280 1328 1660 1920 1992 2490 2656 3320 3840 3984 4980 5312 6640 6691 7968 9960 10624 13280 13382 15936 19920 20073 21248 26560 26764 31872 33455 39840 40146 53120 53528 63744 66910 79680 80292 100365 106240 107056 133820 159360 160584 200730 214112 267640 318720 321168 401460 428224 535280 555353 642336 802920 856448 1070560 1110706 1284672 1605840 1666059 1712896 2141120 2221412 2569344 2776765 3211680 3332118 4282240 4442824 5138688 5553530 6423360 6664236 8330295 8564480 8885648 11107060 12846720 13328472 16660590 17771296 22214120 25693440 26656944 33321180 35542592 44428240 53313888 66642360 71085184 88856480 106627776 133284720 142170368 177712960 213255552 266569440 355425920 426511104 533138880 710851840 1066277760 2132555520