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1243272520 = 235737412927
BaseRepresentation
bin100101000011010…
…1101010101001000
310012122102210021101
41022012231111020
510021234210040
6323211351144
742544433140
oct11206552510
93178383241
101243272520
11588882056
122a84524b4
1316a765719
14bb195920
157423709a
hex4a1ad548

1243272520 has 128 divisors (see below), whose sum is σ = 3364623360. Its totient is φ = 404490240.

The previous prime is 1243272493. The next prime is 1243272523. The reversal of 1243272520 is 252723421.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1243272523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423297 + ... + 426223.

It is an arithmetic number, because the mean of its divisors is an integer number (26286120).

Almost surely, 21243272520 is an apocalyptic number.

1243272520 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 1243272520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682311680).

1243272520 is an abundant number, since it is smaller than the sum of its proper divisors (2121350840).

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

1243272520 is a wasteful number, since it uses less digits than its factorization.

1243272520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 1243272520 is about 35260.0697673728. The cubic root of 1243272520 is about 1075.2813455062.

Adding to 1243272520 its reverse (252723421), we get a palindrome (1495995941).

The spelling of 1243272520 in words is "one billion, two hundred forty-three million, two hundred seventy-two thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 41 56 70 74 82 140 148 164 185 205 259 280 287 296 328 370 410 518 574 740 820 1036 1148 1295 1435 1480 1517 1640 2072 2296 2590 2870 2927 3034 5180 5740 5854 6068 7585 10360 10619 11480 11708 12136 14635 15170 20489 21238 23416 29270 30340 40978 42476 53095 58540 60680 81956 84952 102445 106190 108299 117080 120007 163912 204890 212380 216598 240014 409780 424760 433196 480028 541495 600035 758093 819560 840049 866392 960056 1082990 1200070 1516186 1680098 2165980 2400140 3032372 3360196 3790465 4200245 4331960 4440259 4800280 6064744 6720392 7580930 8400490 8880518 15161860 16800980 17761036 22201295 30323720 31081813 33601960 35522072 44402590 62163626 88805180 124327252 155409065 177610360 248654504 310818130 621636260 1243272520