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1813001740 = 2251153612549
BaseRepresentation
bin110110000010000…
…0011011000001100
311200100111000211121
41230010003120030
512203112023430
6455522530324
762633155234
oct15404033014
94610430747
101813001740
11850435050
124272069a4
1322b7c2cc4
14132adccc4
15a9275a7a
hex6c10360c

1813001740 has 96 divisors (see below), whose sum is σ = 4302849600. Its totient is φ = 635980800.

The previous prime is 1813001711. The next prime is 1813001759. The reversal of 1813001740 is 471003181.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 709986 + ... + 712534.

It is an arithmetic number, because the mean of its divisors is an integer number (44821350).

Almost surely, 21813001740 is an apocalyptic number.

1813001740 is a gapful number since it is divisible by the number (10) 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 1813001740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151424800).

1813001740 is an abundant number, since it is smaller than the sum of its proper divisors (2489847860).

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

1813001740 is a wasteful number, since it uses less digits than its factorization.

1813001740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2683 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 1813001740 is about 42579.3581445282. The cubic root of 1813001740 is about 1219.3622349672.

The spelling of 1813001740 in words is "one billion, eight hundred thirteen million, one thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 61 106 110 122 212 220 244 265 305 530 583 610 671 1060 1166 1220 1342 2332 2549 2684 2915 3233 3355 5098 5830 6466 6710 10196 11660 12745 12932 13420 16165 25490 28039 32330 35563 50980 56078 64660 71126 112156 135097 140195 142252 155489 177815 270194 280390 310978 355630 540388 560780 621956 675485 711260 777445 1350970 1486067 1554890 1710379 2701940 2972134 3109780 3420758 5944268 6841516 7430335 8240917 8551895 14860670 16481834 17103790 29721340 32963668 34207580 41204585 82409170 90650087 164818340 181300174 362600348 453250435 906500870 1813001740