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381697140 = 2235115411069
BaseRepresentation
bin10110110000000…
…011110001110100
3222121020020001010
4112300003301310
51240203302030
6101513032220
712313241436
oct2660036164
9877206033
10381697140
11186504790
12a79b5670
13611037c6
143899c656
152379a6b0
hex16c03c74

381697140 has 96 divisors (see below), whose sum is σ = 1169159040. Its totient is φ = 92275200.

The previous prime is 381697139. The next prime is 381697201. The reversal of 381697140 is 41796183.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356526 + ... + 357594.

It is an arithmetic number, because the mean of its divisors is an integer number (12178740).

Almost surely, 2381697140 is an apocalyptic number.

381697140 is a gapful number since it is divisible by the number (30) 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 381697140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584579520).

381697140 is an abundant number, since it is smaller than the sum of its proper divisors (787461900).

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

381697140 is a wasteful number, since it uses less digits than its factorization.

381697140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 381697140 is about 19537.0709165934. The cubic root of 381697140 is about 725.3923457031.

The spelling of 381697140 in words is "three hundred eighty-one million, six hundred ninety-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 541 660 1069 1082 1623 2138 2164 2705 3207 3246 4276 5345 5410 5951 6414 6492 8115 10690 10820 11759 11902 12828 16035 16230 17853 21380 23518 23804 29755 32070 32460 35277 35706 47036 58795 59510 64140 70554 71412 89265 117590 119020 141108 176385 178530 235180 352770 357060 578329 705540 1156658 1734987 2313316 2891645 3469974 5783290 6361619 6939948 8674935 11566580 12723238 17349870 19084857 25446476 31808095 34699740 38169714 63616190 76339428 95424285 127232380 190848570 381697140