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150830120 = 23571731687
BaseRepresentation
bin10001111110101…
…11110000101000
3101111210222000202
420333113300220
5302103030440
622544451332
73511014650
oct1077276050
9344728022
10150830120
11781599a1
1242619b48
132532c9bc
1416063360
15d395615
hex8fd7c28

150830120 has 64 divisors (see below), whose sum is σ = 410676480. Its totient is φ = 48669696.

The previous prime is 150830117. The next prime is 150830123. The reversal of 150830120 is 21038051.

150830120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (150830117) and next prime (150830123).

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

It is a junction number, because it is equal to n+sod(n) for n = 150830092 and 150830101.

It is not an unprimeable number, because it can be changed into a prime (150830123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11084 + ... + 20603.

It is an arithmetic number, because the mean of its divisors is an integer number (6416820).

Almost surely, 2150830120 is an apocalyptic number.

150830120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150830120 is an abundant number, since it is smaller than the sum of its proper divisors (259846360).

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

150830120 is a wasteful number, since it uses less digits than its factorization.

150830120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31722 (or 31718 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 150830120 is about 12281.2914630343. The cubic root of 150830120 is about 532.3076310730.

Adding to 150830120 its reverse (21038051), we get a palindrome (171868171).

The spelling of 150830120 in words is "one hundred fifty million, eight hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 2380 4760 31687 63374 126748 158435 221809 253496 316870 443618 538679 633740 887236 1077358 1109045 1267480 1774472 2154716 2218090 2693395 3770753 4309432 4436180 5386790 7541506 8872360 10773580 15083012 18853765 21547160 30166024 37707530 75415060 150830120