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150450320 = 2454145869
BaseRepresentation
bin10001111011110…
…11000010010000
3101111002200001002
420331323002100
5302003402240
622532401132
73504543446
oct1075730220
9344080032
10150450320
1177a1a609
12424761a8
1325228b77
1415da4b96
15d31cd15
hex8f7b090

150450320 has 40 divisors (see below), whose sum is σ = 358336440. Its totient is φ = 58711040.

The previous prime is 150450301. The next prime is 150450343. The reversal of 150450320 is 23054051.

It can be written as a sum of positive squares in 4 ways, for example, as 2876416 + 147573904 = 1696^2 + 12148^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 = 150450292 and 150450301.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 19655 + ... + 26214.

It is an arithmetic number, because the mean of its divisors is an integer number (8958411).

Almost surely, 2150450320 is an apocalyptic number.

150450320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150450320 is an abundant number, since it is smaller than the sum of its proper divisors (207886120).

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

150450320 is a wasteful number, since it uses less digits than its factorization.

150450320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45923 (or 45917 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 150450320 is about 12265.8191736223. The cubic root of 150450320 is about 531.8604605105.

The spelling of 150450320 in words is "one hundred fifty million, four hundred fifty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 45869 91738 183476 229345 366952 458690 733904 917380 1834760 1880629 3669520 3761258 7522516 9403145 15045032 18806290 30090064 37612580 75225160 150450320