Search a number
-
+
128340480 = 293517983
BaseRepresentation
bin1111010011001…
…01001000000000
322221111101001010
413221211020000
5230323343410
620422440520
73115606332
oct751451000
9287441033
10128340480
1166499114
1236b93140
1320787318
141308b452
15b401c20
hex7a65200

128340480 has 160 divisors (see below), whose sum is σ = 434865024. Its totient is φ = 32178176.

The previous prime is 128340479. The next prime is 128340521. The reversal of 128340480 is 84043821.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 130069 + ... + 131051.

Almost surely, 2128340480 is an apocalyptic number.

128340480 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 128340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217432512).

128340480 is an abundant number, since it is smaller than the sum of its proper divisors (306524544).

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

128340480 is an equidigital number, since it uses as much as digits as its factorization.

128340480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 128340480 is about 11328.7457381654. The cubic root of 128340480 is about 504.4148763327.

The spelling of 128340480 in words is "one hundred twenty-eight million, three hundred forty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 512 544 640 680 768 816 960 983 1020 1088 1280 1360 1536 1632 1920 1966 2040 2176 2560 2720 2949 3264 3840 3932 4080 4352 4915 5440 5898 6528 7680 7864 8160 8704 9830 10880 11796 13056 14745 15728 16320 16711 19660 21760 23592 26112 29490 31456 32640 33422 39320 43520 47184 50133 58980 62912 65280 66844 78640 83555 94368 100266 117960 125824 130560 133688 157280 167110 188736 200532 235920 250665 251648 267376 314560 334220 377472 401064 471840 501330 503296 534752 629120 668440 754944 802128 943680 1002660 1069504 1258240 1336880 1509888 1604256 1887360 2005320 2139008 2516480 2673760 3208512 3774720 4010640 4278016 5347520 6417024 7549440 8021280 8556032 10695040 12834048 16042560 21390080 25668096 32085120 42780160 64170240 128340480