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120233540 = 22571097879
BaseRepresentation
bin1110010101010…
…01111001000100
322101020111102002
413022221321010
5221234433130
615533004432
72656653050
oct712517104
9271214362
10120233540
1161961269
1234323718
131bba930b
1411d7ac60
15a84eb45
hex72a9e44

120233540 has 48 divisors (see below), whose sum is σ = 291244800. Its totient is φ = 40839552.

The previous prime is 120233513. The next prime is 120233543. The reversal of 120233540 is 45332021.

It is a happy number.

It is a super-2 number, since 2×1202335402 = 28912208281863200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (120233543) 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 15 ways as a sum of consecutive naturals, for example, 11321 + ... + 19199.

It is an arithmetic number, because the mean of its divisors is an integer number (6067600).

Almost surely, 2120233540 is an apocalyptic number.

120233540 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 120233540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145622400).

120233540 is an abundant number, since it is smaller than the sum of its proper divisors (171011260).

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

120233540 is a wasteful number, since it uses less digits than its factorization.

120233540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8004 (or 8002 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 120233540 is about 10965.1055626474. The cubic root of 120233540 is about 493.5621848293.

Adding to 120233540 its reverse (45332021), we get a palindrome (165565561).

The spelling of 120233540 in words is "one hundred twenty million, two hundred thirty-three thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 109 140 218 436 545 763 1090 1526 2180 3052 3815 7630 7879 15260 15758 31516 39395 55153 78790 110306 157580 220612 275765 551530 858811 1103060 1717622 3435244 4294055 6011677 8588110 12023354 17176220 24046708 30058385 60116770 120233540