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8011980 = 2233537401
BaseRepresentation
bin11110100100000011001100
3120002001101000
4132210003030
54022340410
6443420300
7125046354
oct36440314
916061330
108011980
114582579
122824690
131876a22
1410c7b64
15a83dc0
hex7a40cc

8011980 has 96 divisors (see below), whose sum is σ = 25663680. Its totient is φ = 2073600.

The previous prime is 8011979. The next prime is 8011999. The reversal of 8011980 is 891108.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 19780 + ... + 20180.

It is an arithmetic number, because the mean of its divisors is an integer number (267330).

Almost surely, 28011980 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 8011980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12831840).

8011980 is an abundant number, since it is smaller than the sum of its proper divisors (17651700).

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

8011980 is a wasteful number, since it uses less digits than its factorization.

8011980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 8011980 is about 2830.5441173032. The cubic root of 8011980 is about 200.0997835413.

The spelling of 8011980 in words is "eight million, eleven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 90 108 111 135 148 180 185 222 270 333 370 401 444 540 555 666 740 802 999 1110 1203 1332 1604 1665 1998 2005 2220 2406 3330 3609 3996 4010 4812 4995 6015 6660 7218 8020 9990 10827 12030 14436 14837 18045 19980 21654 24060 29674 36090 43308 44511 54135 59348 72180 74185 89022 108270 133533 148370 178044 216540 222555 267066 296740 400599 445110 534132 667665 801198 890220 1335330 1602396 2002995 2670660 4005990 8011980