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168053480 = 235719311019
BaseRepresentation
bin10100000010001…
…00101011101000
3102201020000000222
422001010223220
5321010202410
624401545212
74110300560
oct1201045350
9381200028
10168053480
1186953081
1248345208
1328a8033a
1418467da0
15eb48955
hexa044ae8

168053480 has 128 divisors (see below), whose sum is σ = 470016000. Its totient is φ = 52773120.

The previous prime is 168053477. The next prime is 168053491. The reversal of 168053480 is 84350861.

It is a super-2 number, since 2×1680534802 = 56483944280220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 168053480.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164411 + ... + 165429.

It is an arithmetic number, because the mean of its divisors is an integer number (3672000).

Almost surely, 2168053480 is an apocalyptic number.

168053480 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 168053480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235008000).

168053480 is an abundant number, since it is smaller than the sum of its proper divisors (301962520).

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

168053480 is a wasteful number, since it uses less digits than its factorization.

168053480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 168053480 is about 12963.5442684476. The cubic root of 168053480 is about 551.8433795664.

The spelling of 168053480 in words is "one hundred sixty-eight million, fifty-three thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 31 35 38 40 56 62 70 76 95 124 133 140 152 155 190 217 248 266 280 310 380 434 532 589 620 665 760 868 1019 1064 1085 1178 1240 1330 1736 2038 2170 2356 2660 2945 4076 4123 4340 4712 5095 5320 5890 7133 8152 8246 8680 10190 11780 14266 16492 19361 20380 20615 23560 28532 31589 32984 35665 38722 40760 41230 57064 63178 71330 77444 82460 96805 126356 135527 142660 154888 157945 164920 193610 221123 252712 271054 285320 315890 387220 442246 542108 600191 631780 677635 774440 884492 1084216 1105615 1200382 1263560 1355270 1768984 2211230 2400764 2710540 3000955 4201337 4422460 4801528 5421080 6001910 8402674 8844920 12003820 16805348 21006685 24007640 33610696 42013370 84026740 168053480