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157143636 = 2232132231123
BaseRepresentation
bin10010101110111…
…01001001010100
3101221200201112200
421113131021110
5310212044021
623332044500
73615461466
oct1127351124
9357621480
10157143636
1180781381
1244763730
1326730600
1416c28136
15dbe1126
hex95dd254

157143636 has 108 divisors (see below), whose sum is σ = 449231328. Its totient is φ = 46208448.

The previous prime is 157143617. The next prime is 157143647. The reversal of 157143636 is 636341751.

157143636 is a `hidden beast` number, since 1 + 5 + 7 + 14 + 3 + 636 = 666.

157143636 is digitally balanced in base 2, base 3 and base 9, 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).

157143636 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 157143636.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 139371 + ... + 140493.

Almost surely, 2157143636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157143636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224615664).

157143636 is an abundant number, since it is smaller than the sum of its proper divisors (292087692).

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

157143636 is a wasteful number, since it uses less digits than its factorization.

157143636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1164 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 157143636 is about 12535.6944761748. The cubic root of 157143636 is about 539.6335373703.

The spelling of 157143636 in words is "one hundred fifty-seven million, one hundred forty-three thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 169 207 234 276 299 338 414 468 507 598 676 828 897 1014 1123 1196 1521 1794 2028 2246 2691 3042 3369 3588 3887 4492 5382 6084 6738 7774 10107 10764 11661 13476 14599 15548 20214 23322 25829 29198 34983 40428 43797 46644 51658 58396 69966 77487 87594 103316 131391 139932 154974 175188 189787 232461 262782 309948 335777 379574 464922 525564 569361 671554 759148 929844 1007331 1138722 1343108 1708083 2014662 2277444 3021993 3416166 4029324 4365101 6043986 6832332 8730202 12087972 13095303 17460404 26190606 39285909 52381212 78571818 157143636