Search a number
-
+
168038832 = 24313535081
BaseRepresentation
bin10100000010000…
…01000110110000
3102201012020221110
422001001012300
5321004220312
624401353320
74110210063
oct1201010660
9381166843
10168038832
1186943075
1248338840
1328a76780
14184628da
15eb4443c
hexa0411b0

168038832 has 80 divisors (see below), whose sum is σ = 476407008. Its totient is φ = 50718720.

The previous prime is 168038821. The next prime is 168038861. The reversal of 168038832 is 238830861.

168038832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30532 + ... + 35612.

Almost surely, 2168038832 is an apocalyptic number.

168038832 is a gapful number since it is divisible by the number (12) 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 168038832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238203504).

168038832 is an abundant number, since it is smaller than the sum of its proper divisors (308368176).

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

168038832 is a wasteful number, since it uses less digits than its factorization.

168038832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5158 (or 5152 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 168038832 is about 12962.9792871855. The cubic root of 168038832 is about 551.8273457088.

The spelling of 168038832 in words is "one hundred sixty-eight million, thirty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 53 78 104 106 156 159 208 212 312 318 424 624 636 689 848 1272 1378 2067 2544 2756 4134 5081 5512 8268 10162 11024 15243 16536 20324 30486 33072 40648 60972 66053 81296 121944 132106 198159 243888 264212 269293 396318 528424 538586 792636 807879 1056848 1077172 1585272 1615758 2154344 3170544 3231516 3500809 4308688 6463032 7001618 10502427 12926064 14003236 21004854 28006472 42009708 56012944 84019416 168038832