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1272142300 = 22521113175233
BaseRepresentation
bin100101111010011…
…0101100111011100
310021122202112011111
41023310311213130
510101132023200
6330122231404
743345013452
oct11364654734
93248675144
101272142300
115a3100380
122b6055564
13173733130
14c0d4c9d2
1576a3b0ba
hex4bd359dc

1272142300 has 144 divisors (see below), whose sum is σ = 3434592672. Its totient is φ = 401817600.

The previous prime is 1272142297. The next prime is 1272142307. The reversal of 1272142300 is 32412721.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1272142307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240484 + ... + 245716.

It is an arithmetic number, because the mean of its divisors is an integer number (23851338).

Almost surely, 21272142300 is an apocalyptic number.

1272142300 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 1272142300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717296336).

1272142300 is an abundant number, since it is smaller than the sum of its proper divisors (2162450372).

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

1272142300 is a wasteful number, since it uses less digits than its factorization.

1272142300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5288 (or 5281 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 1272142300 is about 35667.1038914011. The cubic root of 1272142300 is about 1083.5407056013.

The spelling of 1272142300 in words is "one billion, two hundred seventy-two million, one hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 17 20 22 25 26 34 44 50 52 55 65 68 85 100 110 130 143 170 187 220 221 260 275 286 325 340 374 425 442 550 572 650 715 748 850 884 935 1100 1105 1300 1430 1700 1870 2210 2431 2860 3575 3740 4420 4675 4862 5233 5525 7150 9350 9724 10466 11050 12155 14300 18700 20932 22100 24310 26165 48620 52330 57563 60775 68029 88961 104660 115126 121550 130825 136058 177922 230252 243100 261650 272116 287815 340145 355844 444805 523300 575630 680290 748319 889610 978571 1151260 1156493 1360580 1439075 1496638 1700725 1779220 1957142 2224025 2312986 2878150 2993276 3401450 3741595 3914284 4448050 4625972 4892855 5756300 5782465 6802900 7483190 8896100 9785710 11564930 12721423 14966380 18707975 19571420 23129860 24464275 25442846 28912325 37415950 48928550 50885692 57824650 63607115 74831900 97857100 115649300 127214230 254428460 318035575 636071150 1272142300