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172931040 = 25325120091
BaseRepresentation
bin10100100111010…
…11011111100000
3110001101210210100
422103223133200
5323232243130
625054302400
74166614062
oct1223533740
9401353710
10172931040
1189684717
1249ab7a00
1329a9a479
1418d77732
15102adc60
hexa4eb7e0

172931040 has 72 divisors (see below), whose sum is σ = 590132088. Its totient is φ = 46114560.

The previous prime is 172931029. The next prime is 172931041. The reversal of 172931040 is 40139271.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 172930995 and 172931013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172931041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58606 + ... + 61485.

It is an arithmetic number, because the mean of its divisors is an integer number (8196279).

Almost surely, 2172931040 is an apocalyptic number.

172931040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172931040 is an abundant number, since it is smaller than the sum of its proper divisors (417201048).

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

172931040 is a wasteful number, since it uses less digits than its factorization.

172931040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120112 (or 120101 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 172931040 is about 13150.3247108199. The cubic root of 172931040 is about 557.1314193200.

The spelling of 172931040 in words is "one hundred seventy-two million, nine hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 120091 240182 360273 480364 600455 720546 960728 1080819 1200910 1441092 1801365 1921456 2161638 2401820 2882184 3602730 3842912 4323276 4803640 5404095 5764368 7205460 8646552 9607280 10808190 11528736 14410920 17293104 19214560 21616380 28821840 34586208 43232760 57643680 86465520 172931040