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1213264140 = 2235116727437
BaseRepresentation
bin100100001010000…
…1111000100001100
310010112222012111220
41020110033010030
54441043423030
6320220243340
742031401144
oct11024170414
93115865456
101213264140
11572946340
1229a3a0550
1316448999a
14b71c3924
15717aaa10
hex4850f10c

1213264140 has 96 divisors (see below), whose sum is σ = 3761420544. Its totient is φ = 289724160.

The previous prime is 1213264139. The next prime is 1213264189. The reversal of 1213264140 is 414623121.

It is a self number, because there is not a number n which added to its sum of digits gives 1213264140.

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, 30502 + ... + 57938.

It is an arithmetic number, because the mean of its divisors is an integer number (39181464).

Almost surely, 21213264140 is an apocalyptic number.

1213264140 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 1213264140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880710272).

1213264140 is an abundant number, since it is smaller than the sum of its proper divisors (2548156404).

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

1213264140 is a wasteful number, since it uses less digits than its factorization.

1213264140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27527 (or 27525 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1213264140 is about 34831.9413756971. The cubic root of 1213264140 is about 1066.5595788760.

Adding to 1213264140 its reverse (414623121), we get a palindrome (1627887261).

The spelling of 1213264140 in words is "one billion, two hundred thirteen million, two hundred sixty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 67 110 132 134 165 201 220 268 330 335 402 660 670 737 804 1005 1340 1474 2010 2211 2948 3685 4020 4422 7370 8844 11055 14740 22110 27437 44220 54874 82311 109748 137185 164622 274370 301807 329244 411555 548740 603614 823110 905421 1207228 1509035 1646220 1810842 1838279 3018070 3621684 3676558 4527105 5514837 6036140 7353116 9054210 9191395 11029674 18108420 18382790 20221069 22059348 27574185 36765580 40442138 55148370 60663207 80884276 101105345 110296740 121326414 202210690 242652828 303316035 404421380 606632070 1213264140