Search a number
-
+
157732380 = 223351322469
BaseRepresentation
bin10010110011011…
…00111000011100
3101222210122011000
421121230320130
5310334414010
623352430300
73623463111
oct1131547034
9358718130
10157732380
1181043743
12449a8390
13268a8590
1416d3c908
15dcaa7c0
hex966ce1c

157732380 has 96 divisors (see below), whose sum is σ = 528494400. Its totient is φ = 38824704.

The previous prime is 157732361. The next prime is 157732381. The reversal of 157732380 is 83237751.

157732380 is a `hidden beast` number, since 1 + 577 + 3 + 2 + 3 + 80 = 666.

157732380 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157732381) 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, 4215 + ... + 18254.

It is an arithmetic number, because the mean of its divisors is an integer number (5505150).

Almost surely, 2157732380 is an apocalyptic number.

157732380 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 157732380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264247200).

157732380 is an abundant number, since it is smaller than the sum of its proper divisors (370762020).

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

157732380 is a wasteful number, since it uses less digits than its factorization.

157732380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22500 (or 22492 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 157732380 is about 12559.1552263677. The cubic root of 157732380 is about 540.3066159917.

The spelling of 157732380 in words is "one hundred fifty-seven million, seven hundred thirty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 22469 44938 67407 89876 112345 134814 202221 224690 269628 292097 337035 404442 449380 584194 606663 674070 808884 876291 1011105 1168388 1213326 1348140 1460485 1752582 2022210 2426652 2628873 2920970 3033315 3505164 4044420 4381455 5257746 5841940 6066630 7886619 8762910 10515492 12133260 13144365 15773238 17525820 26288730 31546476 39433095 52577460 78866190 157732380