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198502120 = 235191072441
BaseRepresentation
bin10111101010011…
…10011011101000
3111211111221201101
423311032123220
5401304031440
631410331144
74630145245
oct1365163350
9454457641
10198502120
11a205a643
1256589ab4
133218159b
141c5125cc
151266069a
hexbd4e6e8

198502120 has 64 divisors (see below), whose sum is σ = 474724800. Its totient is φ = 74488320.

The previous prime is 198502093. The next prime is 198502123. The reversal of 198502120 is 21205891.

It is not an unprimeable number, because it can be changed into a prime (198502123) 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, 80100 + ... + 82540.

It is an arithmetic number, because the mean of its divisors is an integer number (7417575).

Almost surely, 2198502120 is an apocalyptic number.

198502120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198502120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237362400).

198502120 is an abundant number, since it is smaller than the sum of its proper divisors (276222680).

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

198502120 is a wasteful number, since it uses less digits than its factorization.

198502120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2578 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 198502120 is about 14089.0780393892. The cubic root of 198502120 is about 583.3399451405.

The spelling of 198502120 in words is "one hundred ninety-eight million, five hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 107 152 190 214 380 428 535 760 856 1070 2033 2140 2441 4066 4280 4882 8132 9764 10165 12205 16264 19528 20330 24410 40660 46379 48820 81320 92758 97640 185516 231895 261187 371032 463790 522374 927580 1044748 1305935 1855160 2089496 2611870 4962553 5223740 9925106 10447480 19850212 24812765 39700424 49625530 99251060 198502120