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160072704 = 21032111579
BaseRepresentation
bin10011000101010…
…00010000000000
3102011012112110200
421202220100000
5311434311304
623514525200
73652411161
oct1142502000
9364175420
10160072704
11823a1aa0
1245736800
132721789c
141738b768
15e0bde39
hex98a8400

160072704 has 132 divisors (see below), whose sum is σ = 504544560. Its totient is φ = 48476160.

The previous prime is 160072687. The next prime is 160072727. The reversal of 160072704 is 407270061.

It is a tau number, because it is divible by the number of its divisors (132).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100587 + ... + 102165.

Almost surely, 2160072704 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 160072704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252272280).

160072704 is an abundant number, since it is smaller than the sum of its proper divisors (344471856).

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

160072704 is a wasteful number, since it uses less digits than its factorization.

160072704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 160072704 is about 12651.9841922127. The cubic root of 160072704 is about 542.9657396249.

The spelling of 160072704 in words is "one hundred sixty million, seventy-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1152 1408 1536 1579 1584 2112 2304 2816 3072 3158 3168 4224 4608 4737 5632 6316 6336 8448 9216 9474 11264 12632 12672 14211 16896 17369 18948 25264 25344 28422 33792 34738 37896 50528 50688 52107 56844 69476 75792 101056 101376 104214 113688 138952 151584 156321 202112 208428 227376 277904 303168 312642 404224 416856 454752 555808 606336 625284 808448 833712 909504 1111616 1212672 1250568 1616896 1667424 1819008 2223232 2425344 2501136 3334848 3638016 4446464 4850688 5002272 6669696 7276032 8892928 10004544 13339392 14552064 17785856 20009088 26678784 40018176 53357568 80036352 160072704