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128003680 = 2557229563
BaseRepresentation
bin1111010000100…
…10111001100000
322220212021001001
413220102321200
5230232104210
620411321344
73113004400
oct750227140
9286767031
10128003680
1166289072
1236a50254
1320699c2c
1413000800
15b38703a
hex7a12e60

128003680 has 144 divisors (see below), whose sum is σ = 364558320. Its totient is φ = 42298368.

The previous prime is 128003677. The next prime is 128003719. The reversal of 128003680 is 86300821.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227079 + ... + 227641.

It is an arithmetic number, because the mean of its divisors is an integer number (2531655).

Almost surely, 2128003680 is an apocalyptic number.

128003680 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 128003680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182279160).

128003680 is an abundant number, since it is smaller than the sum of its proper divisors (236554640).

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

128003680 is a wasteful number, since it uses less digits than its factorization.

128003680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 128003680 is about 11313.8711323755. The cubic root of 128003680 is about 503.9732496090.

The spelling of 128003680 in words is "one hundred twenty-eight million, three thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 49 56 58 70 80 98 112 116 140 145 160 196 203 224 232 245 280 290 392 406 464 490 560 563 580 784 812 928 980 1015 1120 1126 1160 1421 1568 1624 1960 2030 2252 2320 2815 2842 3248 3920 3941 4060 4504 4640 5630 5684 6496 7105 7840 7882 8120 9008 11260 11368 14210 15764 16240 16327 18016 19705 22520 22736 27587 28420 31528 32480 32654 39410 45040 45472 55174 56840 63056 65308 78820 81635 90080 110348 113680 114289 126112 130616 137935 157640 163270 220696 227360 228578 261232 275870 315280 326540 441392 457156 522464 551740 571445 630560 653080 800023 882784 914312 1103480 1142890 1306160 1600046 1828624 2206960 2285780 2612320 3200092 3657248 4000115 4413920 4571560 6400184 8000230 9143120 12800368 16000460 18286240 25600736 32000920 64001840 128003680