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2111010240 = 263518112149
BaseRepresentation
bin111110111010011…
…0111010111000000
312110010020102122110
41331310313113000
513310404311430
6545250135320
7103212201543
oct17564672700
95403212573
102111010240
11993679269
124aab81540
132784744b1
1416051485a
15c54de7b0
hex7dd375c0

2111010240 has 112 divisors (see below), whose sum is σ = 6740042400. Its totient is φ = 559779840.

The previous prime is 2111010233. The next prime is 2111010259. The reversal of 2111010240 is 420101112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 167686 + ... + 179834.

It is an arithmetic number, because the mean of its divisors is an integer number (60178950).

Almost surely, 22111010240 is an apocalyptic number.

2111010240 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 2111010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3370021200).

2111010240 is an abundant number, since it is smaller than the sum of its proper divisors (4629032160).

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

2111010240 is a wasteful number, since it uses less digits than its factorization.

2111010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12350 (or 12340 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2111010240 is about 45945.7314665900. The cubic root of 2111010240 is about 1282.8132783852.

Adding to 2111010240 its reverse (420101112), we get a palindrome (2531111352).

The spelling of 2111010240 in words is "two billion, one hundred eleven million, ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 181 192 240 320 362 480 543 724 905 960 1086 1448 1810 2172 2715 2896 3620 4344 5430 5792 7240 8688 10860 11584 12149 14480 17376 21720 24298 28960 34752 36447 43440 48596 57920 60745 72894 86880 97192 121490 145788 173760 182235 194384 242980 291576 364470 388768 485960 583152 728940 777536 971920 1166304 1457880 1943840 2198969 2332608 2915760 3887680 4397938 5831520 6596907 8795876 10994845 11663040 13193814 17591752 21989690 26387628 32984535 35183504 43979380 52775256 65969070 70367008 87958760 105550512 131938140 140734016 175917520 211101024 263876280 351835040 422202048 527752560 703670080 1055505120 2111010240