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381650140 = 225412571811
BaseRepresentation
bin10110101111111…
…000010011011100
3222121010211120101
4112233320103130
51240200301030
6101512030444
712312654424
oct2657702334
9877124511
10381650140
11186482443
12a7992424
13610b82b1
1438989484
152378b7ca
hex16bf84dc

381650140 has 48 divisors (see below), whose sum is σ = 824662944. Its totient is φ = 148275200.

The previous prime is 381650117. The next prime is 381650147. The reversal of 381650140 is 41056183.

It is a junction number, because it is equal to n+sod(n) for n = 381650099 and 381650108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381650147) by changing a digit.

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, 209835 + ... + 211645.

It is an arithmetic number, because the mean of its divisors is an integer number (17180478).

Almost surely, 2381650140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381650140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412331472).

381650140 is an abundant number, since it is smaller than the sum of its proper divisors (443012804).

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

381650140 is a wasteful number, since it uses less digits than its factorization.

381650140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 381650140 is about 19535.8680380473. The cubic root of 381650140 is about 725.3625709279.

It can be divided in two parts, 3816 and 50140, that added together give a triangular number (53956 = T328).

The spelling of 381650140 in words is "three hundred eighty-one million, six hundred fifty thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 257 410 514 820 1028 1285 1811 2570 3622 5140 7244 9055 10537 18110 21074 36220 42148 52685 74251 105370 148502 210740 297004 371255 465427 742510 930854 1485020 1861708 2327135 4654270 9308540 19082507 38165014 76330028 95412535 190825070 381650140