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2088381120 = 26357310771
BaseRepresentation
bin111110001111010…
…0010101011000000
312101112122202022220
41330132202223000
513234111143440
6543121131040
7102515642460
oct17436425300
95345582286
102088381120
11981922711
124a3489a80
13273880497
1415b503ba0
15c351e8d0
hex7c7a2ac0

2088381120 has 112 divisors (see below), whose sum is σ = 7577864448. Its totient is φ = 477342720.

The previous prime is 2088381109. The next prime is 2088381131. The reversal of 2088381120 is 211838802.

It is an interprime number because it is at equal distance from previous prime (2088381109) and next prime (2088381131).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×20883811202 = 8722671404744908800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148666 + ... + 162105.

It is an arithmetic number, because the mean of its divisors is an integer number (67659504).

Almost surely, 22088381120 is an apocalyptic number.

2088381120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2088381120 is an abundant number, since it is smaller than the sum of its proper divisors (5489483328).

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

2088381120 is a wasteful number, since it uses less digits than its factorization.

2088381120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310798 (or 310788 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 2088381120 is about 45698.8087372089. The cubic root of 2088381120 is about 1278.2130664226.

The spelling of 2088381120 in words is "two billion, eighty-eight million, three hundred eighty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 310771 621542 932313 1243084 1553855 1864626 2175397 2486168 3107710 3729252 4350794 4661565 4972336 6215420 6526191 7458504 8701588 9323130 9944672 10876985 12430840 13052382 14917008 17403176 18646260 19889344 21753970 24861680 26104764 29834016 32630955 34806352 37292520 43507940 49723360 52209528 59668032 65261910 69612704 74585040 87015880 99446720 104419056 130523820 139225408 149170080 174031760 208838112 261047640 298340160 348063520 417676224 522095280 696127040 1044190560 2088381120