Search a number
-
+
128450560 = 219572
BaseRepresentation
bin1111010100000…
…00000000000000
322221200222001011
413222000000000
5230340404220
620425050304
73116545300
oct752000000
9287628034
10128450560
1166563897
1237026994
13207c5464
14130b9600
15b42465a
hex7a80000

128450560 has 120 divisors (see below), whose sum is σ = 358612650. Its totient is φ = 44040192.

The previous prime is 128450533. The next prime is 128450563. The reversal of 128450560 is 65054821.

It can be written as a sum of positive squares in only one way, i.e., 115605504 + 12845056 = 10752^2 + 3584^2 .

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (128450563) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18350077 + ... + 18350083.

Almost surely, 2128450560 is an apocalyptic number.

128450560 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 128450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179306325).

128450560 is an abundant number, since it is smaller than the sum of its proper divisors (230162090).

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

128450560 is an frugal number, since it uses more digits than its factorization.

128450560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 128450560 is about 11333.6031340435. The cubic root of 128450560 is about 504.5590504387.

The spelling of 128450560 in words is "one hundred twenty-eight million, four hundred fifty thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 512 560 640 784 896 980 1024 1120 1280 1568 1792 1960 2048 2240 2560 3136 3584 3920 4096 4480 5120 6272 7168 7840 8192 8960 10240 12544 14336 15680 16384 17920 20480 25088 28672 31360 32768 35840 40960 50176 57344 62720 65536 71680 81920 100352 114688 125440 131072 143360 163840 200704 229376 250880 262144 286720 327680 401408 458752 501760 524288 573440 655360 802816 917504 1003520 1146880 1310720 1605632 1835008 2007040 2293760 2621440 3211264 3670016 4014080 4587520 6422528 8028160 9175040 12845056 16056320 18350080 25690112 32112640 64225280 128450560