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128452000 = 2553171889
BaseRepresentation
bin1111010100000…
…00010110100000
322221201001000111
413222000112200
5230340431000
620425101104
73116552425
oct752002640
9287631014
10128452000
1166564986
1237027794
13207c6001
14130b9d4c
15b424cba
hex7a805a0

128452000 has 96 divisors (see below), whose sum is σ = 334348560. Its totient is φ = 48332800.

The previous prime is 128451977. The next prime is 128452013. The reversal of 128452000 is 254821.

It can be written as a sum of positive squares in 8 ways, for example, as 12588304 + 115863696 = 3548^2 + 10764^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67056 + ... + 68944.

Almost surely, 2128452000 is an apocalyptic number.

128452000 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 128452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167174280).

128452000 is an abundant number, since it is smaller than the sum of its proper divisors (205896560).

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

128452000 is a wasteful number, since it uses less digits than its factorization.

128452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 128452000 is about 11333.6666617649. Note that the first 5 decimals coincide. The cubic root of 128452000 is about 504.5609358913.

The spelling of 128452000 in words is "one hundred twenty-eight million, four hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 680 800 850 1000 1360 1700 1889 2000 2125 2720 3400 3778 4000 4250 6800 7556 8500 9445 13600 15112 17000 18890 30224 32113 34000 37780 47225 60448 64226 68000 75560 94450 128452 151120 160565 188900 236125 256904 302240 321130 377800 472250 513808 642260 755600 802825 944500 1027616 1284520 1511200 1605650 1889000 2569040 3211300 3778000 4014125 5138080 6422600 7556000 8028250 12845200 16056500 25690400 32113000 64226000 128452000