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172381440 = 2835711253
BaseRepresentation
bin10100100011001…
…01010100000000
3110000100212212210
422101211110000
5323112201230
625034422120
74162134540
oct1221452400
9400325783
10172381440
1189339800
1249891940
132993726a
1418c73320
1510200eb0
hexa465500

172381440 has 432 divisors, whose sum is σ = 704640384. Its totient is φ = 35143680.

The previous prime is 172381403. The next prime is 172381441. The reversal of 172381440 is 44183271.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 172381398 and 172381407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172381441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3252454 + ... + 3252506.

It is an arithmetic number, because the mean of its divisors is an integer number (1631112).

Almost surely, 2172381440 is an apocalyptic number.

172381440 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 172381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352320192).

172381440 is an abundant number, since it is smaller than the sum of its proper divisors (532258944).

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

172381440 is a wasteful number, since it uses less digits than its factorization.

172381440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 172381440 is about 13129.4112586970. The cubic root of 172381440 is about 556.5405780534.

The spelling of 172381440 in words is "one hundred seventy-two million, three hundred eighty-one thousand, four hundred forty".