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85373420 = 225112811381
BaseRepresentation
bin1010001011010…
…11000111101100
312221122102022112
411011223013230
5133323422140
612245503152
72054443046
oct505530754
9187572275
1085373420
1144211350
1224711ab8
13148c2122
14b4a4a96
157765c65
hex516b1ec

85373420 has 48 divisors (see below), whose sum is σ = 196420896. Its totient is φ = 30912000.

The previous prime is 85373399. The next prime is 85373423. The reversal of 85373420 is 2437358.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (85373423) 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, 61130 + ... + 62510.

It is an arithmetic number, because the mean of its divisors is an integer number (4092102).

Almost surely, 285373420 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 85373420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98210448).

85373420 is an abundant number, since it is smaller than the sum of its proper divisors (111047476).

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

85373420 is a wasteful number, since it uses less digits than its factorization.

85373420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 85373420 is about 9239.7738067552. The cubic root of 85373420 is about 440.3258949234.

The spelling of 85373420 in words is "eighty-five million, three hundred seventy-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 281 562 1124 1381 1405 2762 2810 3091 5524 5620 6182 6905 12364 13810 15191 15455 27620 30382 30910 60764 61820 75955 151910 303820 388061 776122 1552244 1940305 3880610 4268671 7761220 8537342 17074684 21343355 42686710 85373420