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12002780 = 2252397269
BaseRepresentation
bin101101110010…
…010111011100
3211120210201102
4231302113130
511033042110
61105132232
7204010346
oct55622734
924523642
1012002780
116858959
12402a078
13264334a
141846296
1510c15a5
hexb725dc

12002780 has 48 divisors (see below), whose sum is σ = 26671680. Its totient is φ = 4528128.

The previous prime is 12002777. The next prime is 12002843. The reversal of 12002780 is 8720021.

12002780 = T555 + T556 + ... + T623.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 44486 + ... + 44754.

It is an arithmetic number, because the mean of its divisors is an integer number (555660).

Almost surely, 212002780 is an apocalyptic number.

12002780 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 12002780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13335840).

12002780 is an abundant number, since it is smaller than the sum of its proper divisors (14668900).

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

12002780 is a wasteful number, since it uses less digits than its factorization.

12002780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 12002780 is about 3464.5028503380. The cubic root of 12002780 is about 228.9605266211.

The spelling of 12002780 in words is "twelve million, two thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 92 97 115 194 230 269 388 460 485 538 970 1076 1345 1940 2231 2690 4462 5380 6187 8924 11155 12374 22310 24748 26093 30935 44620 52186 61870 104372 123740 130465 260930 521860 600139 1200278 2400556 3000695 6001390 12002780