Search a number
-
+
168526020 = 223513474597
BaseRepresentation
bin10100000101110…
…00000011000100
3102202010000020110
422002320003010
5321120313040
624420033020
74114306335
oct1202700304
9382100213
10168526020
1187146103
1248532770
1328bb7450
141854c28c
15ebdd980
hexa0b80c4

168526020 has 96 divisors (see below), whose sum is σ = 519095808. Its totient is φ = 40591872.

The previous prime is 168526019. The next prime is 168526021. The reversal of 168526020 is 20625861.

It is an interprime number because it is at equal distance from previous prime (168526019) and next prime (168526021).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (168526021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34362 + ... + 38958.

It is an arithmetic number, because the mean of its divisors is an integer number (5407248).

Almost surely, 2168526020 is an apocalyptic number.

168526020 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 168526020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259547904).

168526020 is an abundant number, since it is smaller than the sum of its proper divisors (350569788).

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

168526020 is a wasteful number, since it uses less digits than its factorization.

168526020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4669 (or 4667 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 168526020 is about 12981.7572000096. The cubic root of 168526020 is about 552.3601278435.

The spelling of 168526020 in words is "one hundred sixty-eight million, five hundred twenty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 47 52 60 65 78 94 130 141 156 188 195 235 260 282 390 470 564 611 705 780 940 1222 1410 1833 2444 2820 3055 3666 4597 6110 7332 9165 9194 12220 13791 18330 18388 22985 27582 36660 45970 55164 59761 68955 91940 119522 137910 179283 216059 239044 275820 298805 358566 432118 597610 648177 717132 864236 896415 1080295 1195220 1296354 1792830 2160590 2592708 2808767 3240885 3585660 4321180 5617534 6481770 8426301 11235068 12963540 14043835 16852602 28087670 33705204 42131505 56175340 84263010 168526020