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1209797056 = 261323191331
BaseRepresentation
bin100100000011100…
…0000100111000000
310010022110001120101
41020013000213000
54434202001211
6320014052144
741660051056
oct11007004700
93108401511
101209797056
11570998486
122991aa054
13163844860
14b69601d6
15713235c1
hex481c09c0

1209797056 has 112 divisors (see below), whose sum is σ = 2720083968. Its totient is φ = 529689600.

The previous prime is 1209797053. The next prime is 1209797063. The reversal of 1209797056 is 6507979021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 1209796997 and 1209797015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1209797053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3654811 + ... + 3655141.

It is an arithmetic number, because the mean of its divisors is an integer number (24286464).

Almost surely, 21209797056 is an apocalyptic number.

1209797056 is a gapful number since it is divisible by the number (16) 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 1209797056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360041984).

1209797056 is an abundant number, since it is smaller than the sum of its proper divisors (1510286912).

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

1209797056 is a wasteful number, since it uses less digits than its factorization.

1209797056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 46.

The square root of 1209797056 is about 34782.1370246280. The cubic root of 1209797056 is about 1065.5426583446.

The spelling of 1209797056 in words is "one billion, two hundred nine million, seven hundred ninety-seven thousand, fifty-six".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 184 191 208 299 331 368 382 416 598 662 736 764 832 1196 1324 1472 1528 2392 2483 2648 3056 4303 4393 4784 4966 5296 6112 7613 8606 8786 9568 9932 10592 12224 15226 17212 17572 19136 19864 21184 30452 34424 35144 39728 57109 60904 63221 68848 70288 79456 98969 114218 121808 126442 137696 140576 158912 197938 228436 243616 252884 275392 281152 395876 456872 487232 505768 791752 821873 913744 1011536 1454083 1583504 1643746 1827488 2023072 2908166 3167008 3287492 3654976 4046144 5816332 6334016 6574984 11632664 13149968 18903079 23265328 26299936 37806158 46530656 52599872 75612316 93061312 151224632 302449264 604898528 1209797056