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172131480 = 233655903
BaseRepresentation
bin10100100001010…
…00010010011000
3102222220012000000
422100220102120
5323031201410
625025213000
74160044023
oct1220502230
9388805000
10172131480
1189188a24
1249791160
132987a561
1418c0a1ba
15101a1dc0
hexa428498

172131480 has 112 divisors (see below), whose sum is σ = 580776480. Its totient is φ = 45893952.

The previous prime is 172131473. The next prime is 172131493. The reversal of 172131480 is 84131271.

172131480 is a `hidden beast` number, since 172 + 13 + 1 + 480 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 26209 + ... + 32111.

Almost surely, 2172131480 is an apocalyptic number.

172131480 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 172131480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290388240).

172131480 is an abundant number, since it is smaller than the sum of its proper divisors (408645000).

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

172131480 is an equidigital number, since it uses as much as digits as its factorization.

172131480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5932 (or 5913 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 172131480 is about 13119.8887190403. Note that the first 3 decimals coincide. The cubic root of 172131480 is about 556.2714458760.

The spelling of 172131480 in words is "one hundred seventy-two million, one hundred thirty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 972 1080 1215 1458 1620 1944 2430 2916 3240 3645 4860 5832 5903 7290 9720 11806 14580 17709 23612 29160 29515 35418 47224 53127 59030 70836 88545 106254 118060 141672 159381 177090 212508 236120 265635 318762 354180 425016 478143 531270 637524 708360 796905 956286 1062540 1275048 1434429 1593810 1912572 2125080 2390715 2868858 3187620 3825144 4303287 4781430 5737716 6375240 7172145 8606574 9562860 11475432 14344290 17213148 19125720 21516435 28688580 34426296 43032870 57377160 86065740 172131480