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1241300268 = 2233132471447
BaseRepresentation
bin100100111111100…
…1011110100101100
310012111201120212000
41021333023310230
510020233102033
6323101212300
742521610135
oct11177136454
93174646760
101241300268
1158775529a
122a7861090
1316a224b00
14bac00c8c
1573e97a13
hex49fcbd2c

1241300268 has 144 divisors (see below), whose sum is σ = 3561384960. Its totient is φ = 373553856.

The previous prime is 1241300261. The next prime is 1241300293. The reversal of 1241300268 is 8620031421.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1241300261) 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, 857121 + ... + 858567.

It is an arithmetic number, because the mean of its divisors is an integer number (24731840).

Almost surely, 21241300268 is an apocalyptic number.

1241300268 is a gapful number since it is divisible by the number (18) 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 1241300268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780692480).

1241300268 is an abundant number, since it is smaller than the sum of its proper divisors (2320084692).

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

1241300268 is a wasteful number, since it uses less digits than its factorization.

1241300268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1241300268 is about 35232.0914508350. The cubic root of 1241300268 is about 1074.7124575817.

Adding to 1241300268 its reverse (8620031421), we get a palindrome (9861331689).

The spelling of 1241300268 in words is "one billion, two hundred forty-one million, three hundred thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 47 52 54 78 94 108 117 141 156 169 188 234 282 338 351 423 468 507 564 611 676 702 846 1014 1222 1269 1404 1447 1521 1692 1833 2028 2444 2538 2894 3042 3666 4341 4563 5076 5499 5788 6084 7332 7943 8682 9126 10998 13023 15886 16497 17364 18252 18811 21996 23829 26046 31772 32994 37622 39069 47658 52092 56433 65988 68009 71487 75244 78138 95316 112866 136018 142974 156276 169299 204027 214461 225732 244543 272036 285948 338598 408054 428922 489086 507897 612081 677196 733629 816108 857844 884117 978172 1015794 1224162 1467258 1768234 1836243 2031588 2200887 2448324 2652351 2934516 3536468 3672486 4401774 5304702 6602661 7344972 7957053 8803548 10609404 11493521 13205322 15914106 22987042 23871159 26410644 31828212 34480563 45974084 47742318 68961126 95484636 103441689 137922252 206883378 310325067 413766756 620650134 1241300268