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157113405 = 3351724027
BaseRepresentation
bin10010101110101…
…01110000111101
3101221122012002000
421113111300331
5310210112110
623331252513
73615304401
oct1127256075
9357565060
10157113405
1180760699
124474a139
132671c917
1416c1b101
15dbd71c0
hex95d5c3d

157113405 has 48 divisors (see below), whose sum is σ = 296783040. Its totient is φ = 78845184.

The previous prime is 157113403. The next prime is 157113431. The reversal of 157113405 is 504311751.

It is not a de Polignac number, because 157113405 - 21 = 157113403 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157113403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37002 + ... + 41028.

It is an arithmetic number, because the mean of its divisors is an integer number (6182980).

Almost surely, 2157113405 is an apocalyptic number.

157113405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

157113405 is a deficient number, since it is larger than the sum of its proper divisors (139669635).

157113405 is a wasteful number, since it uses less digits than its factorization.

157113405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4075 (or 4052 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 157113405 is about 12534.4886213998. The cubic root of 157113405 is about 539.5989305861.

The spelling of 157113405 in words is "one hundred fifty-seven million, one hundred thirteen thousand, four hundred five".

Divisors: 1 3 5 9 15 17 27 45 51 85 135 153 255 289 459 765 867 1445 2295 2601 4027 4335 7803 12081 13005 20135 36243 39015 60405 68459 108729 181215 205377 342295 543645 616131 1026885 1163803 1848393 3080655 3491409 5819015 9241965 10474227 17457045 31422681 52371135 157113405