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157749660 = 22335614789
BaseRepresentation
bin10010110011100…
…01000110011100
3101222211111212000
421121301012130
5310340442120
623353042300
73623564355
oct1131610634
9358744760
10157749660
1181055722
12449b6390
13268b33c3
1416d44d2c
15dcb0990
hex967119c

157749660 has 96 divisors (see below), whose sum is σ = 498926400. Its totient is φ = 41368320.

The previous prime is 157749643. The next prime is 157749667. The reversal of 157749660 is 66947751.

It is a happy number.

157749660 is a `hidden beast` number, since 157 + 7 + 496 + 6 + 0 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157749667) 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 31 ways as a sum of consecutive naturals, for example, 30546 + ... + 35334.

It is an arithmetic number, because the mean of its divisors is an integer number (5197150).

Almost surely, 2157749660 is an apocalyptic number.

157749660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157749660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249463200).

157749660 is an abundant number, since it is smaller than the sum of its proper divisors (341176740).

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

157749660 is a wasteful number, since it uses less digits than its factorization.

157749660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4868 (or 4860 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 157749660 is about 12559.8431518869. The cubic root of 157749660 is about 540.3263459448.

The spelling of 157749660 in words is "one hundred fifty-seven million, seven hundred forty-nine thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 61 90 108 122 135 180 183 244 270 305 366 540 549 610 732 915 1098 1220 1647 1830 2196 2745 3294 3660 4789 5490 6588 8235 9578 10980 14367 16470 19156 23945 28734 32940 43101 47890 57468 71835 86202 95780 129303 143670 172404 215505 258606 287340 292129 431010 517212 584258 646515 862020 876387 1168516 1293030 1460645 1752774 2586060 2629161 2921290 3505548 4381935 5258322 5842580 7887483 8763870 10516644 13145805 15774966 17527740 26291610 31549932 39437415 52583220 78874830 157749660