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128448150 = 235253107151
BaseRepresentation
bin1111010011111…
…11011010010110
322221200211201220
413221333122112
5230340320100
620425031210
73116535255
oct751773226
9287624656
10128448150
1166561aa6
1237025506
13207c432c
14130b879c
15b423aa0
hex7a7f696

128448150 has 96 divisors (see below), whose sum is σ = 329764608. Its totient is φ = 33072000.

The previous prime is 128448143. The next prime is 128448157. The reversal of 128448150 is 51844821.

It is an interprime number because it is at equal distance from previous prime (128448143) and next prime (128448157).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128448157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 850575 + ... + 850725.

It is an arithmetic number, because the mean of its divisors is an integer number (3435048).

Almost surely, 2128448150 is an apocalyptic number.

128448150 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 128448150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164882304).

128448150 is an abundant number, since it is smaller than the sum of its proper divisors (201316458).

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

128448150 is a wasteful number, since it uses less digits than its factorization.

128448150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 128448150 is about 11333.4968125464. The cubic root of 128448150 is about 504.5558948928. Note that the first 3 decimals are identical.

The spelling of 128448150 in words is "one hundred twenty-eight million, four hundred forty-eight thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 53 75 106 107 150 151 159 214 265 302 318 321 453 530 535 642 755 795 906 1070 1325 1510 1590 1605 2265 2650 2675 3210 3775 3975 4530 5350 5671 7550 7950 8003 8025 11325 11342 16006 16050 16157 17013 22650 24009 28355 32314 34026 40015 48018 48471 56710 80030 80785 85065 96942 120045 141775 161570 170130 200075 240090 242355 283550 400150 403925 425325 484710 600225 807850 850650 856321 1200450 1211775 1712642 2423550 2568963 4281605 5137926 8563210 12844815 21408025 25689630 42816050 64224075 128448150