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180023340 = 22357716037
BaseRepresentation
bin10101011101011…
…11000000101100
3110112202010121010
422232233000230
5332041221330
625510305220
74314113250
oct1256570054
9415663533
10180023340
1192689222
1250358210
132b3b16b3
1419ca2260
1510c103b0
hexabaf02c

180023340 has 96 divisors (see below), whose sum is σ = 584285184. Its totient is φ = 40561920.

The previous prime is 180023321. The next prime is 180023341. The reversal of 180023340 is 43320081.

It is a happy number.

180023340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (180023341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26802 + ... + 32838.

It is an arithmetic number, because the mean of its divisors is an integer number (6086304).

Almost surely, 2180023340 is an apocalyptic number.

180023340 is a gapful number since it is divisible by the number (10) 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 180023340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292142592).

180023340 is an abundant number, since it is smaller than the sum of its proper divisors (404261844).

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

180023340 is a wasteful number, since it uses less digits than its factorization.

180023340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6127 (or 6125 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 180023340 is about 13417.2776672468. The cubic root of 180023340 is about 564.6460204749.

The spelling of 180023340 in words is "one hundred eighty million, twenty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 71 84 105 140 142 210 213 284 355 420 426 497 710 852 994 1065 1420 1491 1988 2130 2485 2982 4260 4970 5964 6037 7455 9940 12074 14910 18111 24148 29820 30185 36222 42259 60370 72444 84518 90555 120740 126777 169036 181110 211295 253554 362220 422590 428627 507108 633885 845180 857254 1267770 1285881 1714508 2143135 2535540 2571762 3000389 4286270 5143524 6000778 6429405 8572540 9001167 12001556 12858810 15001945 18002334 25717620 30003890 36004668 45005835 60007780 90011670 180023340