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1201092048 = 2432134115649
BaseRepresentation
bin100011110010111…
…0011010111010000
310002201001210112200
41013211303113100
54424434421143
6315103323200
741523054042
oct10745632720
93081053480
101201092048
11566a92262
122962b0500
13161ab7570
14b5735a92
15706a41d3
hex479735d0

1201092048 has 120 divisors (see below), whose sum is σ = 3708486600. Its totient is φ = 360529920.

The previous prime is 1201092047. The next prime is 1201092073. The reversal of 1201092048 is 8402901021.

It can be written as a sum of positive squares in 4 ways, for example, as 83393424 + 1117698624 = 9132^2 + 33432^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201092047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68928 + ... + 84576.

It is an arithmetic number, because the mean of its divisors is an integer number (30904055).

Almost surely, 21201092048 is an apocalyptic number.

1201092048 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 1201092048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854243300).

1201092048 is an abundant number, since it is smaller than the sum of its proper divisors (2507394552).

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

1201092048 is a wasteful number, since it uses less digits than its factorization.

1201092048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15717 (or 15708 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1201092048 is about 34656.7749220841. The cubic root of 1201092048 is about 1062.9808253818.

Adding to 1201092048 its reverse (8402901021), we get a palindrome (9603993069).

The spelling of 1201092048 in words is "one billion, two hundred one million, ninety-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 41 48 52 72 78 82 104 117 123 144 156 164 208 234 246 312 328 369 468 492 533 624 656 738 936 984 1066 1476 1599 1872 1968 2132 2952 3198 4264 4797 5904 6396 8528 9594 12792 15649 19188 25584 31298 38376 46947 62596 76752 93894 125192 140841 187788 203437 250384 281682 375576 406874 563364 610311 641609 751152 813748 1126728 1220622 1283218 1627496 1830933 1924827 2253456 2441244 2566436 3254992 3661866 3849654 4882488 5132872 5774481 7323732 7699308 8340917 9764976 10265744 11548962 14647464 15398616 16681834 23097924 25022751 29294928 30797232 33363668 46195848 50045502 66727336 75068253 92391696 100091004 133454672 150136506 200182008 300273012 400364016 600546024 1201092048