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128299392 = 2732132659
BaseRepresentation
bin1111010010110…
…11000110000000
322221102021200100
413221123012000
5230321040032
620421522400
73115345464
oct751330600
9287367610
10128299392
1166470261
1236b73400
1320771700
141307a4a4
15b3e497c
hex7a5b180

128299392 has 144 divisors (see below), whose sum is σ = 400385700. Its totient is φ = 39416832.

The previous prime is 128299361. The next prime is 128299399. The reversal of 128299392 is 293992821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128299399) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 194359 + ... + 195017.

Almost surely, 2128299392 is an apocalyptic number.

128299392 is a gapful number since it is divisible by the number (12) 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 128299392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200192850).

128299392 is an abundant number, since it is smaller than the sum of its proper divisors (272086308).

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

128299392 is a wasteful number, since it uses less digits than its factorization.

128299392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 677 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 128299392 is about 11326.9321530589. The cubic root of 128299392 is about 504.3610413811.

The spelling of 128299392 in words is "one hundred twenty-eight million, two hundred ninety-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 169 192 208 234 288 312 338 384 416 468 507 576 624 659 676 832 936 1014 1152 1248 1318 1352 1521 1664 1872 1977 2028 2496 2636 2704 3042 3744 3954 4056 4992 5272 5408 5931 6084 7488 7908 8112 8567 10544 10816 11862 12168 14976 15816 16224 17134 21088 21632 23724 24336 25701 31632 32448 34268 42176 47448 48672 51402 63264 64896 68536 77103 84352 94896 97344 102804 111371 126528 137072 154206 189792 194688 205608 222742 253056 274144 308412 334113 379584 411216 445484 548288 616824 668226 759168 822432 890968 1002339 1096576 1233648 1336452 1644864 1781936 2004678 2467296 2672904 3289728 3563872 4009356 4934592 5345808 7127744 8018712 9869184 10691616 14255488 16037424 21383232 32074848 42766464 64149696 128299392