Search a number
-
+
2088910080 = 2833560443
BaseRepresentation
bin111110010000010…
…0011110100000000
312101120122121221000
41330200203310000
513234230110310
6543140332000
7102523304565
oct17440436400
95346577830
102088910080
11982154074
124a36a4000
13273a0718a
1415b60086c
15c35c64c0
hex7c823d00

2088910080 has 144 divisors (see below), whose sum is σ = 7412852160. Its totient is φ = 557033472.

The previous prime is 2088910063. The next prime is 2088910081. The reversal of 2088910080 is 800198802.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2088910081) 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, 4339 + ... + 64781.

It is an arithmetic number, because the mean of its divisors is an integer number (51478140).

Almost surely, 22088910080 is an apocalyptic number.

2088910080 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 2088910080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706426080).

2088910080 is an abundant number, since it is smaller than the sum of its proper divisors (5323942080).

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

2088910080 is an equidigital number, since it uses as much as digits as its factorization.

2088910080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60473 (or 60453 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 2088910080 is about 45704.5958301788. The cubic root of 2088910080 is about 1278.3209756066.

The spelling of 2088910080 in words is "two billion, eighty-eight million, nine hundred ten thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3456 3840 4320 5760 6912 8640 11520 17280 34560 60443 120886 181329 241772 302215 362658 483544 543987 604430 725316 906645 967088 1087974 1208860 1450632 1631961 1813290 1934176 2175948 2417720 2719935 2901264 3263922 3626580 3868352 4351896 4835440 5439870 5802528 6527844 7253160 7736704 8159805 8703792 9670880 10879740 11605056 13055688 14506320 15473408 16319610 17407584 19341760 21759480 23210112 26111376 29012640 32639220 34815168 38683520 43518960 46420224 52222752 58025280 65278440 69630336 77367040 87037920 104445504 116050560 130556880 139260672 174075840 208891008 232101120 261113760 348151680 417782016 522227520 696303360 1044455040 2088910080