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128200272 = 2433318069
BaseRepresentation
bin1111010010000…
…10111001010000
322221020020201020
413221002321100
5230304402042
620415435440
73114453504
oct751027120
9287206636
10128200272
1166402842
1236b25b80
1320738565
1413052304
15b3c53ec
hex7a42e50

128200272 has 40 divisors (see below), whose sum is σ = 332225760. Its totient is φ = 42599040.

The previous prime is 128200249. The next prime is 128200273. The reversal of 128200272 is 272002821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128200273) 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, 11854 + ... + 19922.

It is an arithmetic number, because the mean of its divisors is an integer number (8305644).

Almost surely, 2128200272 is an apocalyptic number.

128200272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

128200272 is an abundant number, since it is smaller than the sum of its proper divisors (204025488).

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

128200272 is a wasteful number, since it uses less digits than its factorization.

128200272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8411 (or 8405 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 128200272 is about 11322.5558952032. Note that the first 3 decimals coincide. The cubic root of 128200272 is about 504.2311235244.

The spelling of 128200272 in words is "one hundred twenty-eight million, two hundred thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 331 662 993 1324 1986 2648 3972 5296 7944 8069 15888 16138 24207 32276 48414 64552 96828 129104 193656 387312 2670839 5341678 8012517 10683356 16025034 21366712 32050068 42733424 64100136 128200272