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1601059328 = 29112711049
BaseRepresentation
bin101111101101110…
…0011101000000000
311010120200020111122
41133123203220000
511234332344303
6422512131412
754450531311
oct13733435000
94116606448
101601059328
11751835630
12388236b68
131c6916cab
141128cc608
159585ce38
hex5f6e3a00

1601059328 has 80 divisors (see below), whose sum is σ = 3506025600. Its totient is φ = 724377600.

The previous prime is 1601059319. The next prime is 1601059333. The reversal of 1601059328 is 8239501061.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1525748 + ... + 1526796.

It is an arithmetic number, because the mean of its divisors is an integer number (43825320).

Almost surely, 21601059328 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 1601059328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753012800).

1601059328 is an abundant number, since it is smaller than the sum of its proper divisors (1904966272).

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

1601059328 is a wasteful number, since it uses less digits than its factorization.

1601059328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 1601059328 is about 40013.2394089756. The cubic root of 1601059328 is about 1169.8651628283.

The spelling of 1601059328 in words is "one billion, six hundred one million, fifty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 271 352 512 542 704 1049 1084 1408 2098 2168 2816 2981 4196 4336 5632 5962 8392 8672 11539 11924 16784 17344 23078 23848 33568 34688 46156 47696 67136 69376 92312 95392 134272 138752 184624 190784 268544 284279 369248 381568 537088 568558 738496 763136 1137116 1476992 1526272 2274232 2953984 3127069 4548464 5907968 6254138 9096928 12508276 18193856 25016552 36387712 50033104 72775424 100066208 145550848 200132416 400264832 800529664 1601059328