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2153560080 = 243573141351
BaseRepresentation
bin1000000001011100…
…1011100000010000
312120002022012001110
42000113023200100
513402302410310
6553410133320
7104236646550
oct20027134020
95502265043
102153560080
11a056a0621
12501281240
13284221809
1416602d160
15c90e6d20
hex805cb810

2153560080 has 160 divisors (see below), whose sum is σ = 7876067328. Its totient is φ = 476352000.

The previous prime is 2153560067. The next prime is 2153560103. The reversal of 2153560080 is 800653512.

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

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, 31405 + ... + 72755.

Almost surely, 22153560080 is an apocalyptic number.

2153560080 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 2153560080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3938033664).

2153560080 is an abundant number, since it is smaller than the sum of its proper divisors (5722507248).

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

2153560080 is a wasteful number, since it uses less digits than its factorization.

2153560080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41405 (or 41399 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 2153560080 is about 46406.4659287906. The cubic root of 2153560080 is about 1291.3748697131.

The spelling of 2153560080 in words is "two billion, one hundred fifty-three million, five hundred sixty thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 35 40 42 48 56 60 62 70 80 84 93 105 112 120 124 140 155 168 186 210 217 240 248 280 310 336 372 420 434 465 496 560 620 651 744 840 868 930 1085 1240 1302 1488 1680 1736 1860 2170 2480 2604 3255 3472 3720 4340 5208 6510 7440 8680 10416 13020 17360 26040 41351 52080 82702 124053 165404 206755 248106 289457 330808 413510 496212 578914 620265 661616 827020 868371 992424 1157828 1240530 1281881 1447285 1654040 1736742 1984848 2315656 2481060 2563762 2894570 3308080 3473484 3845643 4341855 4631312 4962120 5127524 5789140 6409405 6946968 7691286 8683710 8973167 9924240 10255048 11578280 12818810 13893936 15382572 17367420 17946334 19228215 20510096 23156560 25637620 26919501 30765144 34734840 35892668 38456430 44865835 51275240 53839002 61530288 69469680 71785336 76912860 89731670 102550480 107678004 134597505 143570672 153825720 179463340 215356008 269195010 307651440 358926680 430712016 538390020 717853360 1076780040 2153560080