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1211242928 = 247172231627
BaseRepresentation
bin100100000110010…
…0001100110110000
310010102011111221012
41020030201212300
54440034233203
6320105050052
742005252330
oct11014414660
93112144835
101211242928
11571795815
12299786928
13163c2c9bc
14b6c190c0
157150bbd8
hex483219b0

1211242928 has 120 divisors (see below), whose sum is σ = 2974785792. Its totient is φ = 467039232.

The previous prime is 1211242927. The next prime is 1211242993. The reversal of 1211242928 is 8292421121.

It is a junction number, because it is equal to n+sod(n) for n = 1211242894 and 1211242903.

It is not an unprimeable number, because it can be changed into a prime (1211242927) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 743651 + ... + 745277.

Almost surely, 21211242928 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 1211242928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487392896).

1211242928 is an abundant number, since it is smaller than the sum of its proper divisors (1763542864).

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

1211242928 is a wasteful number, since it uses less digits than its factorization.

1211242928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1676 counting only the distinct ones).

The product of its digits is 4608, while the sum is 32.

The square root of 1211242928 is about 34802.9155100546. The cubic root of 1211242928 is about 1065.9669788086.

The spelling of 1211242928 in words is "one billion, two hundred eleven million, two hundred forty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 17 23 28 34 46 56 68 92 112 119 136 161 184 238 272 289 322 368 391 476 578 644 782 952 1156 1288 1564 1627 1904 2023 2312 2576 2737 3128 3254 4046 4624 5474 6256 6508 6647 8092 10948 11389 13016 13294 16184 21896 22778 26032 26588 27659 32368 37421 43792 45556 46529 53176 55318 74842 91112 93058 106352 110636 149684 182224 186116 193613 221272 261947 299368 372232 387226 442544 470203 523894 598736 636157 744464 774452 940406 1047788 1272314 1548904 1880812 2095576 2544628 3097808 3291421 3761624 4191152 4453099 5089256 6582842 7523248 8906198 10178512 10814669 13165684 17812396 21629338 26331368 35624792 43258676 52662736 71249584 75702683 86517352 151405366 173034704 302810732 605621464 1211242928