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381900540 = 22357909287
BaseRepresentation
bin10110110000110…
…101011011111100
3222121121120001110
4112300311123330
51240231304130
6101521242020
712315046440
oct2660653374
9877546043
10381900540
1118663358a
12a7a93310
1361175268
1438a12820
15237daab0
hex16c356fc

381900540 has 48 divisors (see below), whose sum is σ = 1222083072. Its totient is φ = 87291456.

The previous prime is 381900539. The next prime is 381900553. The reversal of 381900540 is 45009183.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 381900498 and 381900507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454224 + ... + 455063.

It is an arithmetic number, because the mean of its divisors is an integer number (25460064).

Almost surely, 2381900540 is an apocalyptic number.

381900540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

381900540 is an abundant number, since it is smaller than the sum of its proper divisors (840182532).

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

381900540 is a wasteful number, since it uses less digits than its factorization.

381900540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909306 (or 909304 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 381900540 is about 19542.2757119021. The cubic root of 381900540 is about 725.5211726250.

The spelling of 381900540 in words is "three hundred eighty-one million, nine hundred thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 909287 1818574 2727861 3637148 4546435 5455722 6365009 9092870 10911444 12730018 13639305 18185740 19095027 25460036 27278610 31825045 38190054 54557220 63650090 76380108 95475135 127300180 190950270 381900540