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2113420440 = 233541210477
BaseRepresentation
bin111110111111000…
…0011110010011000
312110021202212211010
41331332003302120
513312013423230
6545413533520
7103241530425
oct17576036230
95407685733
102113420440
11994a7506a
124ab9442a0
13278b09551
14160980d4c
15c58189b0
hex7df83c98

2113420440 has 96 divisors (see below), whose sum is σ = 6499293840. Its totient is φ = 549780480.

The previous prime is 2113420423. The next prime is 2113420469. The reversal of 2113420440 is 440243112.

It is a congruent number.

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, 196482 + ... + 206958.

Almost surely, 22113420440 is an apocalyptic number.

2113420440 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 2113420440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249646920).

2113420440 is an abundant number, since it is smaller than the sum of its proper divisors (4385873400).

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

2113420440 is a wasteful number, since it uses less digits than its factorization.

2113420440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10573 (or 10528 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2113420440 is about 45971.9527538259. The cubic root of 2113420440 is about 1283.3013007503.

Adding to 2113420440 its reverse (440243112), we get a palindrome (2553663552).

The spelling of 2113420440 in words is "two billion, one hundred thirteen million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 1681 2460 3362 4920 5043 6724 8405 10086 10477 13448 16810 20172 20954 25215 31431 33620 40344 41908 50430 52385 62862 67240 83816 100860 104770 125724 157155 201720 209540 251448 314310 419080 429557 628620 859114 1257240 1288671 1718228 2147785 2577342 3436456 4295570 5154684 6443355 8591140 10309368 12886710 17182280 17611837 25773420 35223674 51546840 52835511 70447348 88059185 105671022 140894696 176118370 211342044 264177555 352236740 422684088 528355110 704473480 1056710220 2113420440