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1200104052 = 2237173312539
BaseRepresentation
bin100011110001000…
…0010001001110100
310002122012121021020
41013202002021310
54424211312202
6315030221140
741511500430
oct10742021164
93078177236
101200104052
11566477a34
12295ab47b0
1316182c954
14b55599c0
157055b5bc
hex47882274

1200104052 has 96 divisors (see below), whose sum is σ = 3400104960. Its totient is φ = 321615360.

The previous prime is 1200104047. The next prime is 1200104083. The reversal of 1200104052 is 2504010021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 471399 + ... + 473937.

It is an arithmetic number, because the mean of its divisors is an integer number (35417760).

Almost surely, 21200104052 is an apocalyptic number.

1200104052 is a gapful number since it is divisible by the number (12) 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 1200104052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700052480).

1200104052 is an abundant number, since it is smaller than the sum of its proper divisors (2200000908).

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

1200104052 is a wasteful number, since it uses less digits than its factorization.

1200104052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2901 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1200104052 is about 34642.5179800776. The cubic root of 1200104052 is about 1062.6892826698.

Adding to 1200104052 its reverse (2504010021), we get a palindrome (3704114073).

The spelling of 1200104052 in words is "one billion, two hundred million, one hundred four thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 331 357 476 662 714 993 1324 1428 1986 2317 2539 3972 4634 5078 5627 6951 7617 9268 10156 11254 13902 15234 16881 17773 22508 27804 30468 33762 35546 39389 43163 53319 67524 71092 78778 86326 106638 118167 129489 157556 172652 213276 236334 258978 302141 472668 517956 604282 840409 906423 1208564 1680818 1812846 2521227 3361636 3625692 5042454 5882863 10084908 11765726 14286953 17648589 23531452 28573906 35297178 42860859 57147812 70594356 85721718 100008671 171443436 200017342 300026013 400034684 600052026 1200104052