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120027852 = 22337237613
BaseRepresentation
bin1110010011101…
…11101011001100
322100212001021000
413021313223030
5221211342402
615524340300
72655135300
oct711675314
9270761230
10120027852
116183077a
1234244690
131bb367c9
1411d25d00
15a80dc1c
hex7277acc

120027852 has 144 divisors (see below), whose sum is σ = 372378720. Its totient is φ = 33312384.

The previous prime is 120027829. The next prime is 120027863. The reversal of 120027852 is 258720021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195498 + ... + 196110.

Almost surely, 2120027852 is an apocalyptic number.

120027852 is a gapful number since it is divisible by the number (12) 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 120027852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186189360).

120027852 is an abundant number, since it is smaller than the sum of its proper divisors (252350868).

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

120027852 is a wasteful number, since it uses less digits than its factorization.

120027852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 120027852 is about 10955.7223404028. The cubic root of 120027852 is about 493.2805724356.

Adding to 120027852 its reverse (258720021), we get a palindrome (378747873).

The spelling of 120027852 in words is "one hundred twenty million, twenty-seven thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 49 54 63 74 84 98 108 111 126 147 148 189 196 222 252 259 294 333 378 441 444 518 588 613 666 756 777 882 999 1036 1226 1323 1332 1554 1764 1813 1839 1998 2331 2452 2646 3108 3626 3678 3996 4291 4662 5292 5439 5517 6993 7252 7356 8582 9324 10878 11034 12873 13986 16317 16551 17164 21756 22068 22681 25746 27972 30037 32634 33102 38619 45362 48951 51492 60074 65268 66204 68043 77238 90111 90724 97902 115857 120148 136086 154476 158767 180222 195804 204129 231714 270333 272172 317534 360444 408258 463428 476301 540666 612387 635068 810999 816516 952602 1081332 1111369 1224774 1428903 1621998 1905204 2222738 2449548 2857806 3243996 3334107 4286709 4445476 5715612 6668214 8573418 10002321 13336428 17146836 20004642 30006963 40009284 60013926 120027852