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172102080 = 2635315783
BaseRepresentation
bin10100100001000…
…01000111000000
3102222211200200010
422100201013000
5323024231310
625024424520
74156562223
oct1220410700
9388750603
10172102080
1189168927
1249778140
132986a067
1418bdd5ba
1510198320
hexa4211c0

172102080 has 112 divisors (see below), whose sum is σ = 564148224. Its totient is φ = 44405760.

The previous prime is 172102069. The next prime is 172102097. The reversal of 172102080 is 80201271.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26869 + ... + 32651.

Almost surely, 2172102080 is an apocalyptic number.

172102080 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 172102080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282074112).

172102080 is an abundant number, since it is smaller than the sum of its proper divisors (392046144).

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

172102080 is a wasteful number, since it uses less digits than its factorization.

172102080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5834 (or 5824 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 172102080 is about 13118.7682348611. The cubic root of 172102080 is about 556.2397737463.

The spelling of 172102080 in words is "one hundred seventy-two million, one hundred two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 192 240 248 310 320 372 465 480 496 620 744 930 960 992 1240 1488 1860 1984 2480 2976 3720 4960 5783 5952 7440 9920 11566 14880 17349 23132 28915 29760 34698 46264 57830 69396 86745 92528 115660 138792 173490 179273 185056 231320 277584 346980 358546 370112 462640 537819 555168 693960 717092 896365 925280 1075638 1110336 1387920 1434184 1792730 1850560 2151276 2689095 2775840 2868368 3585460 4302552 5378190 5551680 5736736 7170920 8605104 10756380 11473472 14341840 17210208 21512760 28683680 34420416 43025520 57367360 86051040 172102080