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172102056 = 23375997179
BaseRepresentation
bin10100100001000…
…01000110101000
3102222211200122020
422100201012220
5323024231211
625024424440
74156562160
oct1220410650
9388750566
10172102056
1189168905
1249778120
132986a049
1418bdd5a0
1510198306
hexa4211a8

172102056 has 128 divisors (see below), whose sum is σ = 508032000. Its totient is φ = 47572992.

The previous prime is 172102027. The next prime is 172102061. The reversal of 172102056 is 650201271.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 961375 + ... + 961553.

It is an arithmetic number, because the mean of its divisors is an integer number (3969000).

Almost surely, 2172102056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172102056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254016000).

172102056 is an abundant number, since it is smaller than the sum of its proper divisors (335929944).

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

172102056 is a wasteful number, since it uses less digits than its factorization.

172102056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 172102056 is about 13118.7673201410. The cubic root of 172102056 is about 556.2397478900.

The spelling of 172102056 in words is "one hundred seventy-two million, one hundred two thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 97 118 168 177 179 194 236 291 354 358 388 413 472 537 582 679 708 716 776 826 1074 1164 1239 1253 1358 1416 1432 1652 2037 2148 2328 2478 2506 2716 3304 3759 4074 4296 4956 5012 5432 5723 7518 8148 9912 10024 10561 11446 15036 16296 17169 17363 21122 22892 30072 31683 34338 34726 40061 42244 45784 52089 63366 68676 69452 73927 80122 84488 104178 120183 121541 126732 137352 138904 147854 160244 208356 221781 240366 243082 253464 295708 320488 364623 416712 443562 480732 486164 591416 729246 887124 961464 972328 1024417 1458492 1774248 2048834 2916984 3073251 4097668 6146502 7170919 8195336 12293004 14341838 21512757 24586008 28683676 43025514 57367352 86051028 172102056