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2114087280 = 243516375381
BaseRepresentation
bin111111000000010…
…0110100101110000
312110100000202112220
41332000212211300
513312201243110
6545440121040
7103250305524
oct17600464560
95410022486
102114087280
11995390078
124b0006180
13278cb0c26
14160ab5d84
15c58eb370
hex7e026970

2114087280 has 80 divisors (see below), whose sum is σ = 6558892704. Its totient is φ = 563307520.

The previous prime is 2114087263. The next prime is 2114087293. The reversal of 2114087280 is 827804112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 390190 + ... + 395570.

Almost surely, 22114087280 is an apocalyptic number.

2114087280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114087280 is an abundant number, since it is smaller than the sum of its proper divisors (4444805424).

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

2114087280 is a wasteful number, since it uses less digits than its factorization.

2114087280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7034 (or 7028 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 2114087280 is about 45979.2048648082. The cubic root of 2114087280 is about 1283.4362583817.

The spelling of 2114087280 in words is "two billion, one hundred fourteen million, eighty-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1637 3274 4911 5381 6548 8185 9822 10762 13096 16143 16370 19644 21524 24555 26192 26905 32286 32740 39288 43048 49110 53810 64572 65480 78576 80715 86096 98220 107620 129144 130960 161430 196440 215240 258288 322860 392880 430480 645720 1291440 8808697 17617394 26426091 35234788 44043485 52852182 70469576 88086970 105704364 132130455 140939152 176173940 211408728 264260910 352347880 422817456 528521820 704695760 1057043640 2114087280