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2012751440 = 2457373351
BaseRepresentation
bin111011111111000…
…0010011001010000
312012021100100220122
41313332002121100
513110231021230
6531420125412
7100610051000
oct16776023120
95167310818
102012751440
11943166a47
12482096868
13260cc03ab
14151458000
15bba80be5
hex77f82650

2012751440 has 80 divisors (see below), whose sum is σ = 5457388800. Its totient is φ = 690076800.

The previous prime is 2012751421. The next prime is 2012751449. The reversal of 2012751440 is 441572102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012751449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9236 + ... + 64115.

It is an arithmetic number, because the mean of its divisors is an integer number (68217360).

Almost surely, 22012751440 is an apocalyptic number.

2012751440 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 2012751440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2728694400).

2012751440 is an abundant number, since it is smaller than the sum of its proper divisors (3444637360).

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

2012751440 is an equidigital number, since it uses as much as digits as its factorization.

2012751440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73385 (or 73365 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 2012751440 is about 44863.6984654631. The cubic root of 2012751440 is about 1262.5930139620.

The spelling of 2012751440 in words is "two billion, twelve million, seven hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 343 392 490 560 686 784 980 1372 1715 1960 2744 3430 3920 5488 6860 13720 27440 73351 146702 293404 366755 513457 586808 733510 1026914 1173616 1467020 2053828 2567285 2934040 3594199 4107656 5134570 5868080 7188398 8215312 10269140 14376796 17970995 20538280 25159393 28753592 35941990 41076560 50318786 57507184 71883980 100637572 125796965 143767960 201275144 251593930 287535920 402550288 503187860 1006375720 2012751440