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168468984 = 23379629
BaseRepresentation
bin10100000101010…
…10000111111000
3102202000010000000
422002222013320
5321112001414
624414513000
74113651135
oct1202520770
9382003000
10168468984
1187107272
1248505760
1328b974b8
141853558c
15ebcbb09
hexa0aa1f8

168468984 has 64 divisors (see below), whose sum is σ = 473796000. Its totient is φ = 56150496.

The previous prime is 168468977. The next prime is 168469057. The reversal of 168468984 is 489864861.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 168468984.

It is a congruent number.

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, 12682 + ... + 22310.

Almost surely, 2168468984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168468984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236898000).

168468984 is an abundant number, since it is smaller than the sum of its proper divisors (305327016).

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

168468984 is an frugal number, since it uses more digits than its factorization.

168468984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9656 (or 9634 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 168468984 is about 12979.5602390836. The cubic root of 168468984 is about 552.2978071663.

The spelling of 168468984 in words is "one hundred sixty-eight million, four hundred sixty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 8748 9629 17496 19258 28887 38516 57774 77032 86661 115548 173322 231096 259983 346644 519966 693288 779949 1039932 1559898 2079864 2339847 3119796 4679694 6239592 7019541 9359388 14039082 18718776 21058623 28078164 42117246 56156328 84234492 168468984