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1601305680 = 243513513239
BaseRepresentation
bin101111101110001…
…1111110001010000
311010121010202102210
41133130133301100
511234413240210
6422521312120
754452605452
oct13734376120
94117122383
101601305680
11751993727
12388335640
131c69a2170
141129542d2
15958aae20
hex5f71fc50

1601305680 has 80 divisors (see below), whose sum is σ = 5345907840. Its totient is φ = 394166784.

The previous prime is 1601305669. The next prime is 1601305729. The reversal of 1601305680 is 865031061.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253500 + ... + 259739.

It is an arithmetic number, because the mean of its divisors is an integer number (66823848).

Almost surely, 21601305680 is an apocalyptic number.

1601305680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1601305680 is an abundant number, since it is smaller than the sum of its proper divisors (3744602160).

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

1601305680 is a wasteful number, since it uses less digits than its factorization.

1601305680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513268 (or 513262 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1601305680 is about 40016.3176716699. The cubic root of 1601305680 is about 1169.9251614049.

The spelling of 1601305680 in words is "one billion, six hundred one million, three hundred five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 513239 1026478 1539717 2052956 2566195 3079434 4105912 5132390 6158868 6672107 7698585 8211824 10264780 12317736 13344214 15397170 20016321 20529560 24635472 26688428 30794340 33360535 40032642 41059120 53376856 61588680 66721070 80065284 100081605 106753712 123177360 133442140 160130568 200163210 266884280 320261136 400326420 533768560 800652840 1601305680