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160420506200 = 23521376139551
BaseRepresentation
bin1001010101100111001…
…1101010101001011000
3120100001222111002001122
42111121303222221120
510112020122144300
6201410212104412
714406240542543
oct2253163525130
9510058432048
10160420506200
1162041214749
1227110605108
131218740ab66
147a9b6d585a
15428d851c85
hex2559ceaa58

160420506200 has 96 divisors (see below), whose sum is σ = 376352429760. Its totient is φ = 63589248000.

The previous prime is 160420506187. The next prime is 160420506223. The reversal of 160420506200 is 2605024061.

160420506200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 160420506200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16791425 + ... + 16800975.

It is an arithmetic number, because the mean of its divisors is an integer number (3920337810).

Almost surely, 2160420506200 is an apocalyptic number.

160420506200 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 160420506200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188176214880).

160420506200 is an abundant number, since it is smaller than the sum of its proper divisors (215931923560).

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

160420506200 is a wasteful number, since it uses less digits than its factorization.

160420506200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10317 (or 10308 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 160420506200 in words is "one hundred sixty billion, four hundred twenty million, five hundred six thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 137 200 274 548 613 685 1096 1226 1370 2452 2740 3065 3425 4904 5480 6130 6850 9551 12260 13700 15325 19102 24520 27400 30650 38204 47755 61300 76408 83981 95510 122600 167962 191020 238775 335924 382040 419905 477550 671848 839810 955100 1308487 1679620 1910200 2099525 2616974 3359240 4199050 5233948 5854763 6542435 8398100 10467896 11709526 13084870 16796200 23419052 26169740 29273815 32712175 46838104 52339480 58547630 65424350 117095260 130848700 146369075 234190520 261697400 292738150 585476300 802102531 1170952600 1604205062 3208410124 4010512655 6416820248 8021025310 16042050620 20052563275 32084101240 40105126550 80210253100 160420506200