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755102064 = 243103163937
BaseRepresentation
bin101101000000011…
…111000101110000
31221121212011022010
4231000133011300
53021301231224
6202532242520
724466155513
oct5500370560
91847764263
10755102064
113582653a2
12190a70440
13c0592b72
14723dcd7a
1546458e29
hex2d01f170

755102064 has 80 divisors (see below), whose sum is σ = 1983817472. Its totient is φ = 247463424.

The previous prime is 755102057. The next prime is 755102069. The reversal of 755102064 is 460201557.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755102069) 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, 805404 + ... + 806340.

Almost surely, 2755102064 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 755102064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991908736).

755102064 is an abundant number, since it is smaller than the sum of its proper divisors (1228715408).

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

755102064 is a wasteful number, since it uses less digits than its factorization.

755102064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 755102064 is about 27479.1205099435. The cubic root of 755102064 is about 910.6158790236.

The spelling of 755102064 in words is "seven hundred fifty-five million, one hundred two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 163 206 309 326 412 489 618 652 824 937 978 1236 1304 1648 1874 1956 2472 2608 2811 3748 3912 4944 5622 7496 7824 11244 14992 16789 22488 33578 44976 50367 67156 96511 100734 134312 152731 193022 201468 268624 289533 305462 386044 402936 458193 579066 610924 772088 805872 916386 1158132 1221848 1544176 1832772 2316264 2443696 3665544 4632528 7331088 15731293 31462586 47193879 62925172 94387758 125850344 188775516 251700688 377551032 755102064