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1831760140 = 225724739769
BaseRepresentation
bin110110100101110…
…0111000100001100
311201122210001112011
41231023213010030
512222412311030
6501432551004
763251463400
oct15513470414
94648701464
101831760140
1185aa87561
12431552464
13232660252
141353c3100
15aac2db2a
hex6d2e710c

1831760140 has 72 divisors (see below), whose sum is σ = 4570050240. Its totient is φ = 614654208.

The previous prime is 1831760087. The next prime is 1831760141. The reversal of 1831760140 is 410671381.

It is not an unprimeable number, because it can be changed into a prime (1831760141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26176 + ... + 65944.

It is an arithmetic number, because the mean of its divisors is an integer number (63472920).

Almost surely, 21831760140 is an apocalyptic number.

1831760140 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 1831760140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285025120).

1831760140 is an abundant number, since it is smaller than the sum of its proper divisors (2738290100).

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

1831760140 is a wasteful number, since it uses less digits than its factorization.

1831760140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39839 (or 39830 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 1831760140 is about 42799.0670459065. The cubic root of 1831760140 is about 1223.5532307615.

The spelling of 1831760140 in words is "one billion, eight hundred thirty-one million, seven hundred sixty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 49 70 94 98 140 188 196 235 245 329 470 490 658 940 980 1316 1645 2303 3290 4606 6580 9212 11515 23030 39769 46060 79538 159076 198845 278383 397690 556766 795380 1113532 1391915 1869143 1948681 2783830 3738286 3897362 5567660 7476572 7794724 9345715 9743405 13084001 18691430 19486810 26168002 37382860 38973620 52336004 65420005 91588007 130840010 183176014 261680020 366352028 457940035 915880070 1831760140