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18901940 = 2253143709
BaseRepresentation
bin100100000011…
…0101110110100
31022120022120212
41020012232310
514314330230
61513044552
7316443461
oct110065664
938508525
1018901940
11a740342
1263b6758
133bba6a5
142720668
1519d5895
hex1206bb4

18901940 has 48 divisors (see below), whose sum is σ = 41986560. Its totient is φ = 7136640.

The previous prime is 18901913. The next prime is 18901951. The reversal of 18901940 is 4910981.

It is a junction number, because it is equal to n+sod(n) for n = 18901897 and 18901906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26306 + ... + 27014.

It is an arithmetic number, because the mean of its divisors is an integer number (874720).

Almost surely, 218901940 is an apocalyptic number.

18901940 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 18901940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20993280).

18901940 is an abundant number, since it is smaller than the sum of its proper divisors (23084620).

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

18901940 is a wasteful number, since it uses less digits than its factorization.

18901940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 32.

The square root of 18901940 is about 4347.6361393290. The cubic root of 18901940 is about 266.3803141462.

The spelling of 18901940 in words is "eighteen million, nine hundred one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 31 43 62 86 124 155 172 215 310 430 620 709 860 1333 1418 2666 2836 3545 5332 6665 7090 13330 14180 21979 26660 30487 43958 60974 87916 109895 121948 152435 219790 304870 439580 609740 945097 1890194 3780388 4725485 9450970 18901940