Search a number
-
+
168381954 = 232135313577
BaseRepresentation
bin10100000100101…
…00111000000010
3102201211200121200
422002110320002
5321101210304
624413002030
74113136326
oct1202247002
9381750550
10168381954
1187057944
1248483316
1328b669c0
1418511986
15ebb0e39
hexa094e02

168381954 has 48 divisors (see below), whose sum is σ = 400333752. Its totient is φ = 50828544.

The previous prime is 168381949. The next prime is 168381977. The reversal of 168381954 is 459183861.

168381954 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 163251729 + 5130225 = 12777^2 + 2265^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5614 + ... + 19190.

Almost surely, 2168381954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168381954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200166876).

168381954 is an abundant number, since it is smaller than the sum of its proper divisors (231951798).

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

168381954 is a wasteful number, since it uses less digits than its factorization.

168381954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13651 (or 13648 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 168381954 is about 12976.2072270753. The cubic root of 168381954 is about 552.2026862795.

The spelling of 168381954 in words is "one hundred sixty-eight million, three hundred eighty-one thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 39 53 78 106 117 159 234 318 477 689 954 1378 2067 4134 6201 12402 13577 27154 40731 81462 122193 176501 244386 353002 529503 719581 1059006 1439162 1588509 2158743 3177018 4317486 6476229 9354553 12952458 18709106 28063659 56127318 84190977 168381954