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93040128 = 293261331
BaseRepresentation
bin1011000101110…
…10111000000000
320111001221001200
411202322320000
5142304241003
613122101200
72206554006
oct542727000
9214057050
1093040128
1148578475
12271aa800
131637793c
14c4dca76
15827c6a3
hex58bae00

93040128 has 120 divisors (see below), whose sum is σ = 273746616. Its totient is φ = 30412800.

The previous prime is 93040127. The next prime is 93040139. The reversal of 93040128 is 82104039.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93040127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 280923 + ... + 281253.

Almost surely, 293040128 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 93040128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136873308).

93040128 is an abundant number, since it is smaller than the sum of its proper divisors (180706488).

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

93040128 is a wasteful number, since it uses less digits than its factorization.

93040128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 93040128 is about 9645.7310764918. The cubic root of 93040128 is about 453.1306437220.

The spelling of 93040128 in words is "ninety-three million, forty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 256 288 331 366 384 488 512 549 576 662 732 768 976 993 1098 1152 1324 1464 1536 1952 1986 2196 2304 2648 2928 2979 3904 3972 4392 4608 5296 5856 5958 7808 7944 8784 10592 11712 11916 15616 15888 17568 20191 21184 23424 23832 31232 31776 35136 40382 42368 46848 47664 60573 63552 70272 80764 84736 93696 95328 121146 127104 140544 161528 169472 181719 190656 242292 254208 281088 323056 363438 381312 484584 508416 646112 726876 762624 969168 1292224 1453752 1525248 1938336 2584448 2907504 3876672 5168896 5815008 7753344 10337792 11630016 15506688 23260032 31013376 46520064 93040128