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2023107660 = 2232579716553
BaseRepresentation
bin111100010010110…
…0010110001001100
312012222211111222100
41320211202301030
513120403421120
6532430115100
7101064063030
oct17045426114
95188744870
102023107660
11948a9a802
1248564ba90
132631a8132
141529921c0
15bc929490
hex78962c4c

2023107660 has 144 divisors (see below), whose sum is σ = 7086171456. Its totient is φ = 457629696.

The previous prime is 2023107659. The next prime is 2023107673. The reversal of 2023107660 is 667013202.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113944 + ... + 130496.

It is an arithmetic number, because the mean of its divisors is an integer number (49209524).

Almost surely, 22023107660 is an apocalyptic number.

2023107660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023107660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3543085728).

2023107660 is an abundant number, since it is smaller than the sum of its proper divisors (5063063796).

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

2023107660 is a wasteful number, since it uses less digits than its factorization.

2023107660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16672 (or 16667 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2023107660 is about 44978.9690855626. The cubic root of 2023107660 is about 1264.7547859044.

The spelling of 2023107660 in words is "two billion, twenty-three million, one hundred seven thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 97 105 126 140 180 194 210 252 291 315 388 420 485 582 630 679 873 970 1164 1260 1358 1455 1746 1940 2037 2716 2910 3395 3492 4074 4365 5820 6111 6790 8148 8730 10185 12222 13580 16553 17460 20370 24444 30555 33106 40740 49659 61110 66212 82765 99318 115871 122220 148977 165530 198636 231742 248295 297954 331060 347613 463484 496590 579355 595908 695226 744885 993180 1042839 1158710 1390452 1489770 1605641 1738065 2085678 2317420 2979540 3211282 3476130 4171356 4816923 5214195 6422564 6952260 8028205 9633846 10428390 11239487 14450769 16056410 19267692 20856780 22478974 24084615 28901538 32112820 33718461 44957948 48169230 56197435 57803076 67436922 72253845 96338460 101155383 112394870 134873844 144507690 168592305 202310766 224789740 289015380 337184610 404621532 505776915 674369220 1011553830 2023107660