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381180157 = 4187710601
BaseRepresentation
bin10110101110000…
…101100011111101
3222120020221212121
4112232011203331
51240040231112
6101454002541
712305656261
oct2656054375
9876227777
10381180157
11186191326
12a77a6451
1360c823b7
14388a60a1
15236e7407
hex16b858fd

381180157 has 8 divisors (see below), whose sum is σ = 390959352. Its totient is φ = 371424000.

The previous prime is 381180131. The next prime is 381180167. The reversal of 381180157 is 751081183.

It can be written as a sum of positive squares in 4 ways, for example, as 86508601 + 294671556 = 9301^2 + 17166^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-381180157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381180167) 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 7 ways as a sum of consecutive naturals, for example, 30657 + ... + 41257.

It is an arithmetic number, because the mean of its divisors is an integer number (48869919).

Almost surely, 2381180157 is an apocalyptic number.

It is an amenable number.

381180157 is a deficient number, since it is larger than the sum of its proper divisors (9779195).

381180157 is a wasteful number, since it uses less digits than its factorization.

381180157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11519.

The product of its (nonzero) digits is 6720, while the sum is 34.

The square root of 381180157 is about 19523.8356118873. The cubic root of 381180157 is about 725.0646994182.

The spelling of 381180157 in words is "three hundred eighty-one million, one hundred eighty thousand, one hundred fifty-seven".

Divisors: 1 41 877 10601 35957 434641 9297077 381180157