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93435020 = 22572113163
BaseRepresentation
bin1011001000110…
…11010010001100
320111210222202022
411210123102030
5142404410040
613134345312
72213120210
oct544332214
9214728668
1093435020
1148818128
122735b238
13164855c3
14c5a2940
1583096b5
hex591b48c

93435020 has 48 divisors (see below), whose sum is σ = 225378048. Its totient is φ = 31872960.

The previous prime is 93435007. The next prime is 93435053. The reversal of 93435020 is 2053439.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27959 + ... + 31121.

It is an arithmetic number, because the mean of its divisors is an integer number (4695376).

Almost surely, 293435020 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 93435020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112689024).

93435020 is an abundant number, since it is smaller than the sum of its proper divisors (131943028).

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

93435020 is a wasteful number, since it uses less digits than its factorization.

93435020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3390 (or 3388 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 93435020 is about 9666.1791831106. The cubic root of 93435020 is about 453.7708159038.

Adding to 93435020 its reverse (2053439), we get a palindrome (95488459).

The spelling of 93435020 in words is "ninety-three million, four hundred thirty-five thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 211 422 844 1055 1477 2110 2954 3163 4220 5908 6326 7385 12652 14770 15815 22141 29540 31630 44282 63260 88564 110705 221410 442820 667393 1334786 2669572 3336965 4671751 6673930 9343502 13347860 18687004 23358755 46717510 93435020