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2153032320 = 27351765963
BaseRepresentation
bin1000000001010100…
…1010101010000000
312120001022101002210
42000111022222000
513402134013240
6553350542120
7104232321105
oct20025125200
95501271083
102153032320
11a0537005a
12501067940
1328409852a
14165d32aac
15c9040780
hex8054aa80

2153032320 has 128 divisors (see below), whose sum is σ = 7266594240. Its totient is φ = 540360704.

The previous prime is 2153032309. The next prime is 2153032327. The reversal of 2153032320 is 232303512.

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

It is not an unprimeable number, because it can be changed into a prime (2153032327) 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, 342 + ... + 65621.

Almost surely, 22153032320 is an apocalyptic number.

2153032320 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 2153032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3633297120).

2153032320 is an abundant number, since it is smaller than the sum of its proper divisors (5113561920).

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

2153032320 is a wasteful number, since it uses less digits than its factorization.

2153032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66002 (or 65990 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 2153032320 is about 46400.7793038005. The cubic root of 2153032320 is about 1291.2693712738.

Adding to 2153032320 its reverse (232303512), we get a palindrome (2385335832).

The spelling of 2153032320 in words is "two billion, one hundred fifty-three million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 384 408 480 510 544 640 680 816 960 1020 1088 1360 1632 1920 2040 2176 2720 3264 4080 5440 6528 8160 10880 16320 32640 65963 131926 197889 263852 329815 395778 527704 659630 791556 989445 1055408 1121371 1319260 1583112 1978890 2110816 2242742 2638520 3166224 3364113 3957780 4221632 4485484 5277040 5606855 6332448 6728226 7915560 8443264 8970968 10554080 11213710 12664896 13456452 15831120 16820565 17941936 21108160 22427420 25329792 26912904 31662240 33641130 35883872 42216320 44854840 53825808 63324480 67282260 71767744 89709680 107651616 126648960 134564520 143535488 179419360 215303232 269129040 358838720 430606464 538258080 717677440 1076516160 2153032320