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2116239120 = 243255355457
BaseRepresentation
bin111111000100011…
…0011111100010000
312110111002002022200
41332020303330100
513313224122440
6545554203200
7103304510232
oct17610637420
95414062280
102116239120
1199661a856
124b0883500
132795854c8
141610b6252
15c5bc3c30
hex7e233f10

2116239120 has 120 divisors (see below), whose sum is σ = 7241261976. Its totient is φ = 553672704.

The previous prime is 2116239091. The next prime is 2116239157. The reversal of 2116239120 is 219326112.

2116239120 is a `hidden beast` number, since 2 + 11 + 623 + 9 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7225344 + 2109013776 = 2688^2 + 45924^2 .

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

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, 10432 + ... + 65888.

Almost surely, 22116239120 is an apocalyptic number.

2116239120 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 2116239120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3620630988).

2116239120 is an abundant number, since it is smaller than the sum of its proper divisors (5125022856).

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

2116239120 is a wasteful number, since it uses less digits than its factorization.

2116239120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55529 (or 55520 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2116239120 is about 46002.5990570098. The cubic root of 2116239120 is about 1283.8715625453.

The spelling of 2116239120 in words is "two billion, one hundred sixteen million, two hundred thirty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 53 60 72 80 90 106 120 144 159 180 212 240 265 318 360 424 477 530 636 720 795 848 954 1060 1272 1590 1908 2120 2385 2544 3180 3816 4240 4770 6360 7632 9540 12720 19080 38160 55457 110914 166371 221828 277285 332742 443656 499113 554570 665484 831855 887312 998226 1109140 1330968 1663710 1996452 2218280 2495565 2661936 2939221 3327420 3992904 4436560 4991130 5878442 6654840 7985808 8817663 9982260 11756884 13309680 14696105 17635326 19964520 23513768 26452989 29392210 35270652 39929040 44088315 47027536 52905978 58784420 70541304 88176630 105811956 117568840 132264945 141082608 176353260 211623912 235137680 264529890 352706520 423247824 529059780 705413040 1058119560 2116239120