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93000040 = 23572232063
BaseRepresentation
bin1011000101100…
…01000101101000
320110222220001221
411202301011220
5142302000130
613121151424
72206326100
oct542610550
9213886057
1093000040
1148550341
122718b574
1316362613
14c4cc200
15827087a
hex58b1168

93000040 has 96 divisors (see below), whose sum is σ = 254119680. Its totient is φ = 30484608.

The previous prime is 93000007. The next prime is 93000059. The reversal of 93000040 is 4000039.

It is a junction number, because it is equal to n+sod(n) for n = 92999978 and 93000023.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 44049 + ... + 46111.

It is an arithmetic number, because the mean of its divisors is an integer number (2647080).

Almost surely, 293000040 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 93000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127059840).

93000040 is an abundant number, since it is smaller than the sum of its proper divisors (161119640).

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

93000040 is a wasteful number, since it uses less digits than its factorization.

93000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 93000040 is about 9643.6528348961. The cubic root of 93000040 is about 453.0655545640.

Adding to 93000040 its reverse (4000039), we get a palindrome (97000079).

The spelling of 93000040 in words is "ninety-three million, forty", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 49 56 70 92 98 115 140 161 184 196 230 245 280 322 392 460 490 644 805 920 980 1127 1288 1610 1960 2063 2254 3220 4126 4508 5635 6440 8252 9016 10315 11270 14441 16504 20630 22540 28882 41260 45080 47449 57764 72205 82520 94898 101087 115528 144410 189796 202174 237245 288820 332143 379592 404348 474490 505435 577640 664286 808696 948980 1010870 1328572 1660715 1897960 2021740 2325001 2657144 3321430 4043480 4650002 6642860 9300004 11625005 13285720 18600008 23250010 46500020 93000040