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1012874408 = 2371331371213
BaseRepresentation
bin111100010111110…
…011110010101000
32121120220100110222
4330113303302220
54033243440113
6244301225212
734046201420
oct7427636250
92546810428
101012874408
1147a817597
12243262208
13131ac7190
149873d480
155ddc5e08
hex3c5f3ca8

1012874408 has 128 divisors (see below), whose sum is σ = 2480056320. Its totient is φ = 376980480.

The previous prime is 1012874407. The next prime is 1012874449. The reversal of 1012874408 is 8044782101.

It is not an unprimeable number, because it can be changed into a prime (1012874407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 834410 + ... + 835622.

It is an arithmetic number, because the mean of its divisors is an integer number (19375440).

Almost surely, 21012874408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012874408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240028160).

1012874408 is an abundant number, since it is smaller than the sum of its proper divisors (1467181912).

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

1012874408 is a wasteful number, since it uses less digits than its factorization.

1012874408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The square root of 1012874408 is about 31825.6878637367. The cubic root of 1012874408 is about 1004.2731832288.

The spelling of 1012874408 in words is "one billion, twelve million, eight hundred seventy-four thousand, four hundred eight".

Divisors: 1 2 4 7 8 13 14 26 28 31 37 52 56 62 74 91 104 124 148 182 217 248 259 296 364 403 434 481 518 728 806 868 962 1036 1147 1213 1612 1736 1924 2072 2294 2426 2821 3224 3367 3848 4588 4852 5642 6734 8029 8491 9176 9704 11284 13468 14911 15769 16058 16982 22568 26936 29822 31538 32116 33964 37603 44881 59644 63076 64232 67928 75206 89762 104377 110383 119288 126152 150412 179524 208754 220766 263221 300824 314167 359048 417508 441532 488839 526442 583453 628334 835016 883064 977678 1052884 1166906 1256668 1391311 1955356 2105768 2333812 2513336 2782622 3421873 3910712 4084171 4667624 5565244 6843746 8168342 9739177 11130488 13687492 16336684 18087043 19478354 27374984 32673368 36174086 38956708 72348172 77913416 126609301 144696344 253218602 506437204 1012874408