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1272826140 = 2235414211229
BaseRepresentation
bin100101111011101…
…1100100100011100
310021201001021012220
41023313130210130
510101320414030
6330145025340
743353562245
oct11367344434
93251037186
101272826140
115a3528133
122b6325250
13173912481
14c1089ccc
1576b23a10
hex4bddc91c

1272826140 has 96 divisors (see below), whose sum is σ = 3662487360. Its totient is φ = 330086400.

The previous prime is 1272826073. The next prime is 1272826147. The reversal of 1272826140 is 416282721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1272826147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1035046 + ... + 1036274.

It is an arithmetic number, because the mean of its divisors is an integer number (38150910).

Almost surely, 21272826140 is an apocalyptic number.

1272826140 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 1272826140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831243680).

1272826140 is an abundant number, since it is smaller than the sum of its proper divisors (2389661220).

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

1272826140 is a wasteful number, since it uses less digits than its factorization.

1272826140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 1272826140 is about 35676.6890279914. The cubic root of 1272826140 is about 1083.7348232317.

The spelling of 1272826140 in words is "one billion, two hundred seventy-two million, eight hundred twenty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 421 492 615 820 842 1229 1230 1263 1684 2105 2458 2460 2526 3687 4210 4916 5052 6145 6315 7374 8420 12290 12630 14748 17261 18435 24580 25260 34522 36870 50389 51783 69044 73740 86305 100778 103566 151167 172610 201556 207132 251945 258915 302334 345220 503890 517409 517830 604668 755835 1007780 1034818 1035660 1511670 1552227 2069636 2587045 3023340 3104454 5174090 6208908 7761135 10348180 15522270 21213769 31044540 42427538 63641307 84855076 106068845 127282614 212137690 254565228 318206535 424275380 636413070 1272826140