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5697438960 = 2435251271349
BaseRepresentation
bin1010100111001100…
…00000010011110000
3112201001201212221210
411103212000103300
543132021021320
62341203520120
7261121301133
oct52346002360
915631655853
105697438960
112464068244
121130089040
136ca4b2375
143c097021a
152352c00e0
hex1539804f0

5697438960 has 160 divisors (see below), whose sum is σ = 17848857600. Its totient is φ = 1503360000.

The previous prime is 5697438959. The next prime is 5697438991. The reversal of 5697438960 is 698347965.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5697438960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16324866 + ... + 16325214.

It is an arithmetic number, because the mean of its divisors is an integer number (111555360).

Almost surely, 25697438960 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 5697438960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8924428800).

5697438960 is an abundant number, since it is smaller than the sum of its proper divisors (12151418640).

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

5697438960 is a wasteful number, since it uses less digits than its factorization.

5697438960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The square root of 5697438960 is about 75481.3815453851. The cubic root of 5697438960 is about 1786.0484139050.

The spelling of 5697438960 in words is "five billion, six hundred ninety-seven million, four hundred thirty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 251 271 349 502 542 698 753 813 1004 1047 1084 1255 1355 1396 1506 1626 1745 2008 2094 2168 2510 2710 2792 3012 3252 3490 3765 4016 4065 4188 4336 5020 5235 5420 5584 6024 6504 6980 7530 8130 8376 10040 10470 10840 12048 13008 13960 15060 16260 16752 20080 20940 21680 27920 30120 32520 41880 60240 65040 68021 83760 87599 94579 136042 175198 189158 204063 262797 272084 283737 340105 350396 378316 408126 437995 472895 525594 544168 567474 680210 700792 756632 816252 875990 945790 1020315 1051188 1088336 1134948 1313985 1360420 1401584 1418685 1513264 1632504 1751980 1891580 2040630 2102376 2269896 2627970 2720840 2837370 3265008 3503960 3783160 4081260 4204752 4539792 5255940 5441680 5674740 7007920 7566320 8162520 10511880 11349480 16325040 21023760 22698960 23739329 47478658 71217987 94957316 118696645 142435974 189914632 237393290 284871948 356089935 379829264 474786580 569743896 712179870 949573160 1139487792 1424359740 1899146320 2848719480 5697438960