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2311980 = 22351131113
BaseRepresentation
bin1000110100011100101100
311100110102220
420310130230
51042440410
6121315340
725436316
oct10643454
94313386
102311980
11133a030
12935b50
1362c448
144427b6
1530a070
hex23472c

2311980 has 96 divisors (see below), whose sum is σ = 7354368. Its totient is φ = 537600.

The previous prime is 2311957. The next prime is 2311993. The reversal of 2311980 is 891132.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2311980.

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, 20404 + ... + 20516.

It is an arithmetic number, because the mean of its divisors is an integer number (76608).

22311980 is an apocalyptic number.

2311980 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 2311980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677184).

2311980 is an abundant number, since it is smaller than the sum of its proper divisors (5042388).

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

2311980 is a wasteful number, since it uses less digits than its factorization.

2311980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 2311980 is about 1520.5196480151. The cubic root of 2311980 is about 132.2293990826.

It can be divided in two parts, 231 and 1980, that added together give a triangular number (2211 = T66).

The spelling of 2311980 in words is "two million, three hundred eleven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 113 124 132 155 165 186 220 226 310 330 339 341 372 452 465 565 620 660 678 682 930 1023 1130 1243 1356 1364 1695 1705 1860 2046 2260 2486 3390 3410 3503 3729 4092 4972 5115 6215 6780 6820 7006 7458 10230 10509 12430 14012 14916 17515 18645 20460 21018 24860 35030 37290 38533 42036 52545 70060 74580 77066 105090 115599 154132 192665 210180 231198 385330 462396 577995 770660 1155990 2311980