Search a number
-
+
168016420 = 225111324519
BaseRepresentation
bin10100000001110…
…11101000100100
3102201011010012101
422000323220210
5321003011140
624401101444
74110054535
oct1200735044
9381133171
10168016420
1186928250
1248327884
1328a69500
141845868c
15eb3c99a
hexa03ba24

168016420 has 72 divisors (see below), whose sum is σ = 416888640. Its totient is φ = 56384640.

The previous prime is 168016393. The next prime is 168016439. The reversal of 168016420 is 24610861.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34921 + ... + 39439.

It is an arithmetic number, because the mean of its divisors is an integer number (5790120).

Almost surely, 2168016420 is an apocalyptic number.

168016420 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 168016420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208444320).

168016420 is an abundant number, since it is smaller than the sum of its proper divisors (248872220).

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

168016420 is a wasteful number, since it uses less digits than its factorization.

168016420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4565 (or 4550 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 168016420 is about 12962.1147965909. The cubic root of 168016420 is about 551.8028114902.

The spelling of 168016420 in words is "one hundred sixty-eight million, sixteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 169 220 260 286 338 572 676 715 845 1430 1690 1859 2860 3380 3718 4519 7436 9038 9295 18076 18590 22595 37180 45190 49709 58747 90380 99418 117494 198836 234988 248545 293735 497090 587470 646217 763711 994180 1174940 1292434 1527422 2584868 3054844 3231085 3818555 6462170 7637110 8400821 12924340 15274220 16801642 33603284 42004105 84008210 168016420