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172400000 = 2755431
BaseRepresentation
bin10100100011010…
…01110110000000
3110000101211100012
422101221312000
5323113300000
625035044052
74162242623
oct1221516600
9400354305
10172400000
1189351743
12498a0628
1329942846
1418c79dba
1510206735
hexa469d80

172400000 has 96 divisors (see below), whose sum is σ = 430284960. Its totient is φ = 68800000.

The previous prime is 172399993. The next prime is 172400017. The reversal of 172400000 is 4271.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399785 + ... + 400215.

It is an arithmetic number, because the mean of its divisors is an integer number (4482135).

Almost surely, 2172400000 is an apocalyptic number.

172400000 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 172400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215142480).

172400000 is an abundant number, since it is smaller than the sum of its proper divisors (257884960).

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

172400000 is an frugal number, since it uses more digits than its factorization.

172400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 172400000 is about 13130.1180497359. The cubic root of 172400000 is about 556.5605512447.

Adding to 172400000 its reverse (4271), we get a palindrome (172404271).

The spelling of 172400000 in words is "one hundred seventy-two million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 431 500 625 640 800 862 1000 1250 1600 1724 2000 2155 2500 3125 3200 3448 4000 4310 5000 6250 6896 8000 8620 10000 10775 12500 13792 16000 17240 20000 21550 25000 27584 34480 40000 43100 50000 53875 55168 68960 80000 86200 100000 107750 137920 172400 200000 215500 269375 275840 344800 400000 431000 538750 689600 862000 1077500 1346875 1379200 1724000 2155000 2693750 3448000 4310000 5387500 6896000 8620000 10775000 17240000 21550000 34480000 43100000 86200000 172400000