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1041212424 = 23378389839
BaseRepresentation
bin111110000011111…
…010010000001000
32200120020001221010
4332003322100020
54113022244144
6251152443520
734542105510
oct7603722010
92616201833
101041212424
1149481233a
122508495a0
13137939835
149c3d8840
15616225b9
hex3e0fa408

1041212424 has 128 divisors (see below), whose sum is σ = 3048192000. Its totient is φ = 290256384.

The previous prime is 1041212423. The next prime is 1041212429. The reversal of 1041212424 is 4242121401.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1041212424.

It is not an unprimeable number, because it can be changed into a prime (1041212423) 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, 1240597 + ... + 1241435.

It is an arithmetic number, because the mean of its divisors is an integer number (23814000).

Almost surely, 21041212424 is an apocalyptic number.

1041212424 is a gapful number since it is divisible by the number (14) 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 1041212424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524096000).

1041212424 is an abundant number, since it is smaller than the sum of its proper divisors (2006979576).

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

1041212424 is a wasteful number, since it uses less digits than its factorization.

1041212424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1041212424 is about 32267.8233539233. The cubic root of 1041212424 is about 1013.5529620705.

Adding to 1041212424 its reverse (4242121401), we get a palindrome (5283333825).

The spelling of 1041212424 in words is "one billion, forty-one million, two hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 83 84 89 166 168 178 249 267 332 356 498 534 581 623 664 712 839 996 1068 1162 1246 1678 1743 1869 1992 2136 2324 2492 2517 3356 3486 3738 4648 4984 5034 5873 6712 6972 7387 7476 10068 11746 13944 14774 14952 17619 20136 22161 23492 29548 35238 44322 46984 51709 59096 69637 70476 74671 88644 103418 139274 140952 149342 155127 177288 206836 208911 224013 278548 298684 310254 413672 417822 448026 487459 522697 557096 597368 620508 835644 896052 974918 1045394 1241016 1462377 1568091 1671288 1792104 1949836 2090788 2924754 3136182 3899672 4181576 5849508 6197693 6272364 11699016 12395386 12544728 18593079 24790772 37186158 43383851 49581544 74372316 86767702 130151553 148744632 173535404 260303106 347070808 520606212 1041212424