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172983240 = 23325480509
BaseRepresentation
bin10100100111110…
…00001111001000
3110001111110101200
422103320033020
5323240430430
625055344200
74200222213
oct1223701710
9401443350
10172983240
118970a961
1249b22060
1329ab8161
1418d8c77a
15102be460
hexa4f83c8

172983240 has 48 divisors (see below), whose sum is σ = 562196700. Its totient is φ = 46128768.

The previous prime is 172983233. The next prime is 172983257. The reversal of 172983240 is 42389271.

It can be written as a sum of positive squares in 2 ways, for example, as 171557604 + 1425636 = 13098^2 + 1194^2 .

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 172983195 and 172983204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239895 + ... + 240614.

Almost surely, 2172983240 is an apocalyptic number.

172983240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172983240 is an abundant number, since it is smaller than the sum of its proper divisors (389213460).

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

172983240 is a wasteful number, since it uses less digits than its factorization.

172983240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480526 (or 480519 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 172983240 is about 13152.3093029323. The cubic root of 172983240 is about 557.1874712090.

The spelling of 172983240 in words is "one hundred seventy-two million, nine hundred eighty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 480509 961018 1441527 1922036 2402545 2883054 3844072 4324581 4805090 5766108 7207635 8649162 9610180 11532216 14415270 17298324 19220360 21622905 28830540 34596648 43245810 57661080 86491620 172983240