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755700096 = 2732979859
BaseRepresentation
bin101101000010110…
…001000110000000
31221122222112122110
4231002301012000
53021424400341
6202553135320
724504226164
oct5502610600
91848875573
10755700096
11358633738
121910ba540
13c0742128
1472516ca4
1546526216
hex2d0b1180

755700096 has 128 divisors (see below), whose sum is σ = 2105280000. Its totient is φ = 239855616.

The previous prime is 755700089. The next prime is 755700097. The reversal of 755700096 is 690007557.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755700097) 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, 879315 + ... + 880173.

It is an arithmetic number, because the mean of its divisors is an integer number (16447500).

Almost surely, 2755700096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 755700096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052640000).

755700096 is an abundant number, since it is smaller than the sum of its proper divisors (1349579904).

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

755700096 is a wasteful number, since it uses less digits than its factorization.

755700096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 39.

The square root of 755700096 is about 27489.9999272463. Note that the first 4 decimals coincide. The cubic root of 755700096 is about 910.8562146278.

The spelling of 755700096 in words is "seven hundred fifty-five million, seven hundred thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 79 87 96 116 128 158 174 192 232 237 316 348 384 464 474 632 696 859 928 948 1264 1392 1718 1856 1896 2291 2528 2577 2784 3436 3712 3792 4582 5056 5154 5568 6872 6873 7584 9164 10112 10308 11136 13744 13746 15168 18328 20616 24911 27488 27492 30336 36656 41232 49822 54976 54984 67861 73312 74733 82464 99644 109952 109968 135722 146624 149466 164928 199288 203583 219936 271444 293248 298932 329856 398576 407166 439872 542888 597864 797152 814332 879744 1085776 1195728 1594304 1628664 1967969 2171552 2391456 3188608 3257328 3935938 4343104 4782912 5903907 6514656 7871876 8686208 9565824 11807814 13029312 15743752 23615628 26058624 31487504 47231256 62975008 94462512 125950016 188925024 251900032 377850048 755700096