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381780126 = 232713217929
BaseRepresentation
bin10110110000011…
…000000010011110
3222121101102212200
4112300120002132
51240213431001
6101514512330
712314035410
oct2660300236
9877342780
10381780126
11186561072
12a7a356a6
1361132500
14389c09b0
15237b5086
hex16c1809e

381780126 has 72 divisors (see below), whose sum is σ = 1023731280. Its totient is φ = 100683648.

The previous prime is 381780103. The next prime is 381780143. The reversal of 381780126 is 621087183.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12330 + ... + 30258.

It is an arithmetic number, because the mean of its divisors is an integer number (14218490).

Almost surely, 2381780126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381780126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511865640).

381780126 is an abundant number, since it is smaller than the sum of its proper divisors (641951154).

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

381780126 is a wasteful number, since it uses less digits than its factorization.

381780126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17970 (or 17954 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 381780126 is about 19539.1946098093. The cubic root of 381780126 is about 725.4449118530. Note that the first 3 decimals are identical.

The spelling of 381780126 in words is "three hundred eighty-one million, seven hundred eighty thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 169 182 234 273 338 507 546 819 1014 1183 1521 1638 2366 3042 3549 7098 10647 17929 21294 35858 53787 107574 125503 161361 233077 251006 322722 376509 466154 699231 753018 1129527 1398462 1631539 2097693 2259054 3030001 3263078 4195386 4894617 6060002 9090003 9789234 14683851 18180006 21210007 27270009 29367702 42420014 54540018 63630021 127260042 190890063 381780126