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128203680 = 25351124281
BaseRepresentation
bin1111010010000…
…11101110100000
322221020102101110
413221003232200
5230310004210
620415503320
73114466443
oct751035640
9287212343
10128203680
1166405360
1236b27b40
1320739c87
141305365a
15b3c6420
hex7a43ba0

128203680 has 96 divisors (see below), whose sum is σ = 440572608. Its totient is φ = 31078400.

The previous prime is 128203657. The next prime is 128203687. The reversal of 128203680 is 86302821.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128203687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6861 + ... + 17420.

It is an arithmetic number, because the mean of its divisors is an integer number (4589298).

Almost surely, 2128203680 is an apocalyptic number.

128203680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128203680 is an abundant number, since it is smaller than the sum of its proper divisors (312368928).

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

128203680 is a wasteful number, since it uses less digits than its factorization.

128203680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24310 (or 24302 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 128203680 is about 11322.7063902585. The cubic root of 128203680 is about 504.2355915452.

The spelling of 128203680 in words is "one hundred twenty-eight million, two hundred three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 24281 48562 72843 97124 121405 145686 194248 242810 267091 291372 364215 388496 485620 534182 582744 728430 776992 801273 971240 1068364 1165488 1335455 1456860 1602546 1942480 2136728 2330976 2670910 2913720 3205092 3884960 4006365 4273456 5341820 5827440 6410184 8012730 8546912 10683640 11654880 12820368 16025460 21367280 25640736 32050920 42734560 64101840 128203680