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157205741 = 711347359
BaseRepresentation
bin10010101111011…
…00010011101101
3101221210212201212
421113230103231
5310221040431
623333244205
73616140530
oct1127542355
9357725655
10157205741
1180814000
1244793665
1326752964
1416c42a17
15dc0472b
hex95ec4ed

157205741 has 32 divisors (see below), whose sum is σ = 202383360. Its totient is φ = 119557680.

The previous prime is 157205729. The next prime is 157205747. The reversal of 157205741 is 147502751.

It is a de Polignac number, because none of the positive numbers 2k-157205741 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 157205698 and 157205707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157205747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437720 + ... + 438078.

It is an arithmetic number, because the mean of its divisors is an integer number (6324480).

Almost surely, 2157205741 is an apocalyptic number.

157205741 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

157205741 is a deficient number, since it is larger than the sum of its proper divisors (45177619).

157205741 is an equidigital number, since it uses as much as digits as its factorization.

157205741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 32.

The square root of 157205741 is about 12538.1713578975. The cubic root of 157205741 is about 539.7046178324.

The spelling of 157205741 in words is "one hundred fifty-seven million, two hundred five thousand, seven hundred forty-one".

Divisors: 1 7 11 47 77 121 329 359 517 847 1331 2513 3619 3949 5687 9317 16873 27643 39809 43439 62557 118111 185603 304073 437899 477829 1299221 2041633 3344803 14291431 22457963 157205741