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157177040 = 2454345691
BaseRepresentation
bin10010101111001…
…01010011010000
3101221202102100212
421113211103100
5310214131130
623332503252
73615661046
oct1127452320
9357672325
10157177040
11807a4489
124477ab28
1326742887
1416c36396
15dbeae95
hex95e54d0

157177040 has 40 divisors (see below), whose sum is σ = 373943328. Its totient is φ = 61407360.

The previous prime is 157177039. The next prime is 157177043. The reversal of 157177040 is 40771751.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 157176988 and 157177006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157177043) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 19406 + ... + 26285.

Almost surely, 2157177040 is an apocalyptic number.

157177040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157177040 is an abundant number, since it is smaller than the sum of its proper divisors (216766288).

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

157177040 is a wasteful number, since it uses less digits than its factorization.

157177040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45747 (or 45741 counting only the distinct ones).

The product of its (nonzero) digits is 6860, while the sum is 32.

The square root of 157177040 is about 12537.0267607595. The cubic root of 157177040 is about 539.6717712690.

The spelling of 157177040 in words is "one hundred fifty-seven million, one hundred seventy-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 3440 45691 91382 182764 228455 365528 456910 731056 913820 1827640 1964713 3655280 3929426 7858852 9823565 15717704 19647130 31435408 39294260 78588520 157177040