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120300150 = 23523141631
BaseRepresentation
bin1110010101110…
…10001001110110
322101100212210010
413022322021312
5221244101100
615534241050
72660351205
oct712721166
9271325703
10120300150
11619a7313
1234356186
131bc00729
1411d9723c
15a864750
hex72ba276

120300150 has 96 divisors (see below), whose sum is σ = 315979776. Its totient is φ = 30240000.

The previous prime is 120300137. The next prime is 120300161. The reversal of 120300150 is 51003021.

It is a Curzon number.

It is a congruent number.

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, 190335 + ... + 190965.

It is an arithmetic number, because the mean of its divisors is an integer number (3291456).

Almost surely, 2120300150 is an apocalyptic number.

120300150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120300150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157989888).

120300150 is an abundant number, since it is smaller than the sum of its proper divisors (195679626).

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

120300150 is a wasteful number, since it uses less digits than its factorization.

120300150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 120300150 is about 10968.1425045447. The cubic root of 120300150 is about 493.6533133331.

Adding to 120300150 its reverse (51003021), we get a palindrome (171303171).

The spelling of 120300150 in words is "one hundred twenty million, three hundred thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 41 50 62 75 82 93 123 150 155 186 205 246 310 410 465 615 631 775 930 1025 1230 1262 1271 1550 1893 2050 2325 2542 3075 3155 3786 3813 4650 6150 6310 6355 7626 9465 12710 15775 18930 19065 19561 25871 31550 31775 38130 39122 47325 51742 58683 63550 77613 94650 95325 97805 117366 129355 155226 190650 195610 258710 293415 388065 489025 586830 646775 776130 802001 978050 1293550 1467075 1604002 1940325 2406003 2934150 3880650 4010005 4812006 8020010 12030015 20050025 24060030 40100050 60150075 120300150