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168704532 = 223417109281
BaseRepresentation
bin10100000111000…
…11101000010100
3102202110002010000
422003203220110
5321142021112
624423531300
74115651643
oct1203435024
9382402100
10168704532
1187258237
12485b9b30
1328c4a789
141859735a
15ec267dc
hexa0e3a14

168704532 has 120 divisors (see below), whose sum is σ = 472930920. Its totient is φ = 52254720.

The previous prime is 168704531. The next prime is 168704539. The reversal of 168704532 is 235407861.

It can be written as a sum of positive squares in 4 ways, for example, as 75272976 + 93431556 = 8676^2 + 9666^2 .

It is a super-2 number, since 2×1687045322 = 56922438234678048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168704531) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 600232 + ... + 600512.

It is an arithmetic number, because the mean of its divisors is an integer number (3941091).

Almost surely, 2168704532 is an apocalyptic number.

168704532 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 168704532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236465460).

168704532 is an abundant number, since it is smaller than the sum of its proper divisors (304226388).

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

168704532 is a wasteful number, since it uses less digits than its factorization.

168704532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 168704532 is about 12988.6308747304. The cubic root of 168704532 is about 552.5550890655. Note that the first 3 decimals are identical.

The spelling of 168704532 in words is "one hundred sixty-eight million, seven hundred four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 109 153 162 204 218 281 306 324 327 436 459 562 612 654 843 918 981 1124 1308 1377 1686 1836 1853 1962 2529 2754 2943 3372 3706 3924 4777 5058 5508 5559 5886 7412 7587 8829 9554 10116 11118 11772 14331 15174 16677 17658 19108 22236 22761 28662 30348 30629 33354 35316 42993 45522 50031 57324 61258 66708 85986 91044 91887 100062 122516 128979 150093 171972 183774 200124 257958 275661 300186 367548 386937 515916 520693 551322 600372 773874 826983 1041386 1102644 1547748 1562079 1653966 2082772 2480949 3124158 3307932 4686237 4961898 6248316 9372474 9923796 14058711 18744948 28117422 42176133 56234844 84352266 168704532