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128836992 = 2733179137
BaseRepresentation
bin1111010110111…
…10010110000000
322222102121010110
413223132112000
5230440240432
620441231320
73123045024
oct753362600
9288377113
10128836992
11667a8159
1237192540
13208cc30b
141317a384
15b49ddcc
hex7ade580

128836992 has 128 divisors (see below), whose sum is σ = 360345600. Its totient is φ = 40734720.

The previous prime is 128836991. The next prime is 128837017. The reversal of 128836992 is 299638821.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128836991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 940348 + ... + 940484.

It is an arithmetic number, because the mean of its divisors is an integer number (2815200).

Almost surely, 2128836992 is an apocalyptic number.

128836992 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 128836992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180172800).

128836992 is an abundant number, since it is smaller than the sum of its proper divisors (231508608).

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

128836992 is a wasteful number, since it uses less digits than its factorization.

128836992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 252 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 128836992 is about 11350.6383961432. The cubic root of 128836992 is about 505.0645174572.

The spelling of 128836992 in words is "one hundred twenty-eight million, eight hundred thirty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 79 93 96 124 128 137 158 186 192 237 248 274 316 372 384 411 474 496 548 632 744 822 948 992 1096 1264 1488 1644 1896 1984 2192 2449 2528 2976 3288 3792 3968 4247 4384 4898 5056 5952 6576 7347 7584 8494 8768 9796 10112 10823 11904 12741 13152 14694 15168 16988 17536 19592 21646 25482 26304 29388 30336 32469 33976 39184 43292 50964 52608 58776 64938 67952 78368 86584 101928 117552 129876 135904 156736 173168 203856 235104 259752 271808 313472 335513 346336 407712 470208 519504 543616 671026 692672 815424 940416 1006539 1039008 1342052 1385344 1630848 2013078 2078016 2684104 4026156 4156032 5368208 8052312 10736416 16104624 21472832 32209248 42945664 64418496 128836992