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172100070 = 232513913757
BaseRepresentation
bin10100100001000…
…00100111100110
3102222211120220200
422100200213212
5323024200240
625024411330
74156553322
oct1220404746
9388746820
10172100070
118916736a
1249776b46
132986917c
1418bdc982
1510197930
hexa4209e6

172100070 has 48 divisors (see below), whose sum is σ = 450712080. Its totient is φ = 45559872.

The previous prime is 172100069. The next prime is 172100077. The reversal of 172100070 is 70001271.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172100077) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5632 + ... + 19388.

It is an arithmetic number, because the mean of its divisors is an integer number (9389835).

Almost surely, 2172100070 is an apocalyptic number.

172100070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 172100070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225356040).

172100070 is an abundant number, since it is smaller than the sum of its proper divisors (278612010).

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

172100070 is a wasteful number, since it uses less digits than its factorization.

172100070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13909 (or 13906 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 172100070 is about 13118.6916268354. The cubic root of 172100070 is about 556.2376082751.

The spelling of 172100070 in words is "one hundred seventy-two million, one hundred thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 139 278 417 695 834 1251 1390 2085 2502 4170 6255 12510 13757 27514 41271 68785 82542 123813 137570 206355 247626 412710 619065 1238130 1912223 3824446 5736669 9561115 11473338 17210007 19122230 28683345 34420014 57366690 86050035 172100070