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120540852 = 22331935783
BaseRepresentation
bin1110010111101…
…00111010110100
322101211002222000
413023310322310
5221324301402
615543335300
72662403025
oct713647264
9271732860
10120540852
1162051143
1234451530
131bc86163
141201ac4c
15a8b0c1c
hex72f4eb4

120540852 has 48 divisors (see below), whose sum is σ = 314186880. Its totient is φ = 39965184.

The previous prime is 120540809. The next prime is 120540869. The reversal of 120540852 is 258045021.

It is a happy number.

120540852 is a `hidden beast` number, since 1 + 205 + 408 + 52 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17953 + ... + 23735.

It is an arithmetic number, because the mean of its divisors is an integer number (6545560).

Almost surely, 2120540852 is an apocalyptic number.

120540852 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 120540852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157093440).

120540852 is an abundant number, since it is smaller than the sum of its proper divisors (193646028).

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

120540852 is a wasteful number, since it uses less digits than its factorization.

120540852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5989 (or 5981 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 120540852 is about 10979.1097999792. The cubic root of 120540852 is about 493.9823353079.

Adding to 120540852 its reverse (258045021), we get a palindrome (378585873).

The spelling of 120540852 in words is "one hundred twenty million, five hundred forty thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 193 386 579 772 1158 1737 2316 3474 5211 5783 6948 10422 11566 17349 20844 23132 34698 52047 69396 104094 156141 208188 312282 624564 1116119 2232238 3348357 4464476 6696714 10045071 13393428 20090142 30135213 40180284 60270426 120540852