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2118947940 = 2232528141893
BaseRepresentation
bin111111001001100…
…1001010001100100
312110200011201010100
41332103021101210
513314422313230
6550132224100
7103336521534
oct17623112144
95420151110
102118947940
119980aaa4a
124b176b030
13279cc3465
141615bd4c4
15c605b660
hex7e4c9464

2118947940 has 72 divisors (see below), whose sum is σ = 6450502968. Its totient is φ = 563028480.

The previous prime is 2118947939. The next prime is 2118947951. The reversal of 2118947940 is 497498112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 760435776 + 1358512164 = 27576^2 + 36858^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 29634 + ... + 71526.

It is an arithmetic number, because the mean of its divisors is an integer number (89590319).

Almost surely, 22118947940 is an apocalyptic number.

2118947940 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 2118947940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3225251484).

2118947940 is an abundant number, since it is smaller than the sum of its proper divisors (4331555028).

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

2118947940 is a wasteful number, since it uses less digits than its factorization.

2118947940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42189 (or 42184 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 2118947940 is about 46032.0316736075. The cubic root of 2118947940 is about 1284.4191210446.

The spelling of 2118947940 in words is "two billion, one hundred eighteen million, nine hundred forty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 281 562 843 1124 1405 1686 2529 2810 3372 4215 5058 5620 8430 10116 12645 16860 25290 41893 50580 83786 125679 167572 209465 251358 377037 418930 502716 628395 754074 837860 1256790 1508148 1885185 2513580 3770370 7540740 11771933 23543866 35315799 47087732 58859665 70631598 105947397 117719330 141263196 176578995 211894794 235438660 353157990 423789588 529736985 706315980 1059473970 2118947940