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901980198 = 23471941863
BaseRepresentation
bin110101110000110…
…010000000100110
32022212020100020000
4311300302000212
53321401331243
6225300322130
731231463610
oct6560620046
92285210200
10901980198
11423165089
122120a3346
13114b3aac2
1487b13db0
15542bd5d3
hex35c32026

901980198 has 80 divisors (see below), whose sum is σ = 2431461120. Its totient is φ = 244139184.

The previous prime is 901980137. The next prime is 901980239. The reversal of 901980198 is 891089109.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 615 + ... + 42477.

It is an arithmetic number, because the mean of its divisors is an integer number (30393264).

Almost surely, 2901980198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 901980198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215730560).

901980198 is an abundant number, since it is smaller than the sum of its proper divisors (1529480922).

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

901980198 is a wasteful number, since it uses less digits than its factorization.

901980198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41903 (or 41894 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 45.

The square root of 901980198 is about 30032.9851663134. The cubic root of 901980198 is about 966.1969622682.

The spelling of 901980198 in words is "nine hundred one million, nine hundred eighty thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 81 114 126 133 162 171 189 266 342 378 399 513 567 798 1026 1134 1197 1539 2394 3078 3591 7182 10773 21546 41863 83726 125589 251178 293041 376767 586082 753534 795397 879123 1130301 1590794 1758246 2260602 2386191 2637369 3390903 4772382 5274738 5567779 6781806 7158573 7912107 11135558 14317146 15824214 16703337 21475719 23736321 33406674 42951438 47472642 50110011 64427157 100220022 128854314 150330033 300660066 450990099 901980198