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150420120 = 23351996299
BaseRepresentation
bin10001111011100…
…11101010011000
3101111001010121120
420331303222120
5302001420440
622532005240
73504356424
oct1075635230
9344033546
10150420120
11779a9954
1242460820
13252181b6
1415d97b84
15d313dd0
hex8f73a98

150420120 has 64 divisors (see below), whose sum is σ = 453600000. Its totient is φ = 39904128.

The previous prime is 150420107. The next prime is 150420157. The reversal of 150420120 is 21024051.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 150420120.

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, 20731 + ... + 27029.

It is an arithmetic number, because the mean of its divisors is an integer number (7087500).

Almost surely, 2150420120 is an apocalyptic number.

150420120 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 150420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226800000).

150420120 is an abundant number, since it is smaller than the sum of its proper divisors (303179880).

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

150420120 is a wasteful number, since it uses less digits than its factorization.

150420120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6512 (or 6508 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 150420120 is about 12264.5880485241. The cubic root of 150420120 is about 531.8248712193.

Adding to 150420120 its reverse (21024051), we get a palindrome (171444171).

The spelling of 150420120 in words is "one hundred fifty million, four hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 199 398 597 796 995 1194 1592 1990 2388 2985 3980 4776 5970 6299 7960 11940 12598 18897 23880 25196 31495 37794 50392 62990 75588 94485 125980 151176 188970 251960 377940 755880 1253501 2507002 3760503 5014004 6267505 7521006 10028008 12535010 15042012 18802515 25070020 30084024 37605030 50140040 75210060 150420120