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157116150 = 23252893923
BaseRepresentation
bin10010101110101…
…10011011110110
3101221122022211200
421113112123312
5310210204100
623331313330
73615315402
oct1127263366
9357568750
10157116150
1180762764
124474b846
1326720c49
1416c1c102
15dbd7e00
hex95d66f6

157116150 has 72 divisors (see below), whose sum is σ = 426970440. Its totient is φ = 41416320.

The previous prime is 157116137. The next prime is 157116161. The reversal of 157116150 is 51611751.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 38089 + ... + 42011.

It is an arithmetic number, because the mean of its divisors is an integer number (5930145).

Almost surely, 2157116150 is an apocalyptic number.

157116150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 157116150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213485220).

157116150 is an abundant number, since it is smaller than the sum of its proper divisors (269854290).

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

157116150 is a wasteful number, since it uses less digits than its factorization.

157116150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4030 (or 4022 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 27.

The square root of 157116150 is about 12534.5981188070. The cubic root of 157116150 is about 539.6020730942.

The spelling of 157116150 in words is "one hundred fifty-seven million, one hundred sixteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 89 90 150 178 225 267 445 450 534 801 890 1335 1602 2225 2670 3923 4005 4450 6675 7846 8010 11769 13350 19615 20025 23538 35307 39230 40050 58845 70614 98075 117690 176535 196150 294225 349147 353070 588450 698294 882675 1047441 1745735 1765350 2094882 3142323 3491470 5237205 6284646 8728675 10474410 15711615 17457350 26186025 31423230 52372050 78558075 157116150