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1601109328 = 2471319311867
BaseRepresentation
bin101111101101110…
…1111110101010000
311010120202210002111
41133123233311100
511234340444303
6422513155104
754451130140
oct13733576520
94116683074
101601109328
1175186a155
1238825ba94
131c6933990
14112902920
159586cb6d
hex5f6efd50

1601109328 has 160 divisors (see below), whose sum is σ = 4150845440. Its totient is φ = 580400640.

The previous prime is 1601109319. The next prime is 1601109361. The reversal of 1601109328 is 8239011061.

It is a super-2 number, since 2×16011093282 = 5127102160417223168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 1601109328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 856651 + ... + 858517.

It is an arithmetic number, because the mean of its divisors is an integer number (25942784).

Almost surely, 21601109328 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 1601109328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075422720).

1601109328 is an abundant number, since it is smaller than the sum of its proper divisors (2549736112).

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

1601109328 is a wasteful number, since it uses less digits than its factorization.

1601109328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 1601109328 is about 40013.8641973004. The cubic root of 1601109328 is about 1169.8773407341.

The spelling of 1601109328 in words is "one billion, six hundred one million, one hundred nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 31 38 52 56 62 76 91 104 112 124 133 152 182 208 217 247 248 266 304 364 403 434 494 496 532 589 728 806 868 988 1064 1178 1456 1612 1729 1736 1867 1976 2128 2356 2821 3224 3458 3472 3734 3952 4123 4712 5642 6448 6916 7468 7657 8246 9424 11284 13069 13832 14936 15314 16492 22568 24271 26138 27664 29872 30628 32984 35473 45136 48542 52276 53599 57877 61256 65968 70946 97084 104552 107198 115754 122512 141892 169897 194168 209104 214396 231508 248311 283784 339794 388336 405139 428792 461149 463016 496622 567568 679588 752401 810278 857584 922298 926032 993244 1099663 1359176 1504802 1620556 1844596 1986488 2199326 2718352 3009604 3228043 3241112 3689192 3972976 4398652 5266807 6019208 6456086 6482224 7378384 7697641 8797304 10533614 12038416 12912172 14295619 15395282 17594608 21067228 25824344 28591238 30790564 42134456 51648688 57182476 61581128 84268912 100069333 114364952 123162256 200138666 228729904 400277332 800554664 1601109328