Search a number
-
+
168014740 = 22517618101
BaseRepresentation
bin10100000001110…
…11001110010100
3102201011000220011
422000323032110
5321002432430
624401050004
74110046615
oct1200731624
9381130804
10168014740
1186926a63
1248326904
1328a6880a
1418457c0c
15eb3c22a
hexa03b394

168014740 has 48 divisors (see below), whose sum is σ = 379756944. Its totient is φ = 62208000.

The previous prime is 168014729. The next prime is 168014741. The reversal of 168014740 is 47410861.

It can be written as a sum of positive squares in 8 ways, for example, as 4072324 + 163942416 = 2018^2 + 12804^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168014741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16690 + ... + 24790.

It is an arithmetic number, because the mean of its divisors is an integer number (7911603).

Almost surely, 2168014740 is an apocalyptic number.

168014740 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 168014740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189878472).

168014740 is an abundant number, since it is smaller than the sum of its proper divisors (211742204).

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

168014740 is a wasteful number, since it uses less digits than its factorization.

168014740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8188 (or 8186 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 168014740 is about 12962.0499921887. The cubic root of 168014740 is about 551.8009723211.

The spelling of 168014740 in words is "one hundred sixty-eight million, fourteen thousand, seven hundred forty".

Divisors: 1 2 4 5 10 17 20 34 61 68 85 122 170 244 305 340 610 1037 1220 2074 4148 5185 8101 10370 16202 20740 32404 40505 81010 137717 162020 275434 494161 550868 688585 988322 1377170 1976644 2470805 2754340 4941610 8400737 9883220 16801474 33602948 42003685 84007370 168014740