Search a number
-
+
172884480 = 293522511
BaseRepresentation
bin10100100111000…
…00001000000000
3110001022102220220
422103200020000
5323224300410
625053303040
74166331246
oct1223401000
9401272826
10172884480
118965273a
1249a94a80
1329a82212
1418d64796
15102a0070
hexa4e0200

172884480 has 80 divisors (see below), whose sum is σ = 552714624. Its totient is φ = 46100480.

The previous prime is 172884451. The next prime is 172884493. The reversal of 172884480 is 84488271.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3576 + ... + 18935.

Almost surely, 2172884480 is an apocalyptic number.

172884480 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 172884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276357312).

172884480 is an abundant number, since it is smaller than the sum of its proper divisors (379830144).

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

172884480 is an equidigital number, since it uses as much as digits as its factorization.

172884480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22537 (or 22521 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 42.

The square root of 172884480 is about 13148.5542931533. The cubic root of 172884480 is about 557.0814140939.

The spelling of 172884480 in words is "one hundred seventy-two million, eight hundred eighty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 22511 45022 67533 90044 112555 135066 180088 225110 270132 337665 360176 450220 540264 675330 720352 900440 1080528 1350660 1440704 1800880 2161056 2701320 2881408 3601760 4322112 5402640 5762816 7203520 8644224 10805280 11525632 14407040 17288448 21610560 28814080 34576896 43221120 57628160 86442240 172884480