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2131488720 = 243253079643
BaseRepresentation
bin111111100001011…
…1110111111010000
312111112202211211200
41333002332333100
513331130114340
6551301111200
7103551232554
oct17702767720
95445684750
102131488720
119a4196029
124b59b8500
1327c79463a
14163125864
15c71d7330
hex7f0befd0

2131488720 has 120 divisors (see below), whose sum is σ = 7182311136. Its totient is φ = 566486784.

The previous prime is 2131488701. The next prime is 2131488743. The reversal of 2131488720 is 278841312.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216219 + ... + 225861.

Almost surely, 22131488720 is an apocalyptic number.

2131488720 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 2131488720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3591155568).

2131488720 is an abundant number, since it is smaller than the sum of its proper divisors (5050822416).

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

2131488720 is a wasteful number, since it uses less digits than its factorization.

2131488720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9969 (or 9960 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2131488720 is about 46168.0486917089. The cubic root of 2131488720 is about 1286.9480402769.

The spelling of 2131488720 in words is "two billion, one hundred thirty-one million, four hundred eighty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 307 360 614 720 921 1228 1535 1842 2456 2763 3070 3684 4605 4912 5526 6140 7368 9210 9643 11052 12280 13815 14736 18420 19286 22104 24560 27630 28929 36840 38572 44208 48215 55260 57858 73680 77144 86787 96430 110520 115716 144645 154288 173574 192860 221040 231432 289290 347148 385720 433935 462864 578580 694296 771440 867870 1157160 1388592 1735740 2314320 2960401 3471480 5920802 6942960 8881203 11841604 14802005 17762406 23683208 26643609 29604010 35524812 44406015 47366416 53287218 59208020 71049624 88812030 106574436 118416040 133218045 142099248 177624060 213148872 236832080 266436090 355248120 426297744 532872180 710496240 1065744360 2131488720