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150254320 = 24510917231
BaseRepresentation
bin10001111010010…
…11001011110000
3101110201201011211
420331023023300
5301431114240
622524245504
73503066146
oct1075131360
9343651154
10150254320
11778a6327
12423a0894
132518a8a8
1415d53596
15d2cebea
hex8f4b2f0

150254320 has 40 divisors (see below), whose sum is σ = 352566720. Its totient is φ = 59546880.

The previous prime is 150254317. The next prime is 150254323. The reversal of 150254320 is 23452051.

150254320 is digitally balanced in base 2, 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 (150254317) and next prime (150254323).

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

It is a junction number, because it is equal to n+sod(n) for n = 150254291 and 150254300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150254323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105 + ... + 17335.

It is an arithmetic number, because the mean of its divisors is an integer number (8814168).

Almost surely, 2150254320 is an apocalyptic number.

150254320 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 150254320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176283360).

150254320 is an abundant number, since it is smaller than the sum of its proper divisors (202312400).

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

150254320 is a wasteful number, since it uses less digits than its factorization.

150254320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17353 (or 17347 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 150254320 is about 12257.8268873402. The cubic root of 150254320 is about 531.6293987410.

The spelling of 150254320 in words is "one hundred fifty million, two hundred fifty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 872 1090 1744 2180 4360 8720 17231 34462 68924 86155 137848 172310 275696 344620 689240 1378480 1878179 3756358 7512716 9390895 15025432 18781790 30050864 37563580 75127160 150254320