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157154985 = 34513191571
BaseRepresentation
bin10010101110111…
…11111010101001
3101221201022010000
421113133322221
5310212424420
623332213213
73615536541
oct1127377251
9357638100
10157154985
1180789959
124476a209
1326735820
1416c2c321
15dbe4690
hex95dfea9

157154985 has 80 divisors (see below), whose sum is σ = 319556160. Its totient is φ = 73249920.

The previous prime is 157154941. The next prime is 157154989. The reversal of 157154985 is 589451751.

157154985 is a `hidden beast` number, since 157 + 1 + 5 + 498 + 5 = 666.

It is not a de Polignac number, because 157154985 - 210 = 157153961 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 157154985.

It is not an unprimeable number, because it can be changed into a prime (157154989) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 99250 + ... + 100820.

It is an arithmetic number, because the mean of its divisors is an integer number (3994452).

Almost surely, 2157154985 is an apocalyptic number.

157154985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

157154985 is an abundant number, since it is smaller than the sum of its proper divisors (162401175).

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

157154985 is a wasteful number, since it uses less digits than its factorization.

157154985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620 (or 1611 counting only the distinct ones).

The product of its digits is 252000, while the sum is 45.

The square root of 157154985 is about 12536.1471353841. The cubic root of 157154985 is about 539.6465279347.

The spelling of 157154985 in words is "one hundred fifty-seven million, one hundred fifty-four thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 13 15 19 27 39 45 57 65 81 95 117 135 171 195 247 285 351 405 513 585 741 855 1053 1235 1539 1571 1755 2223 2565 3705 4713 5265 6669 7695 7855 11115 14139 20007 20423 23565 29849 33345 42417 61269 70695 89547 100035 102115 127251 149245 183807 212085 268641 306345 388037 447735 551421 636255 805923 919035 1164111 1343205 1654263 1940185 2417769 2757105 3492333 4029615 5820555 8271315 10476999 12088845 17461665 31430997 52384995 157154985