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172566940 = 225713531789
BaseRepresentation
bin10100100100100…
…10100110011100
3110000201022100011
422102102212130
5323134120230
625042413004
74163536420
oct1222224634
9400638304
10172566940
1189456107
1249961164
13299a0820
1418cc0b80
151023ae2a
hexa49299c

172566940 has 96 divisors (see below), whose sum is σ = 454688640. Its totient is φ = 53554176.

The previous prime is 172566931. The next prime is 172566967. The reversal of 172566940 is 49665271.

It is a junction number, because it is equal to n+sod(n) for n = 172566893 and 172566902.

It is a congruent number.

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, 95566 + ... + 97354.

It is an arithmetic number, because the mean of its divisors is an integer number (4736340).

Almost surely, 2172566940 is an apocalyptic number.

172566940 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 172566940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227344320).

172566940 is an abundant number, since it is smaller than the sum of its proper divisors (282121700).

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

172566940 is a wasteful number, since it uses less digits than its factorization.

172566940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 172566940 is about 13136.4736516312. The cubic root of 172566940 is about 556.7401379513.

The spelling of 172566940 in words is "one hundred seventy-two million, five hundred sixty-six thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 53 65 70 91 106 130 140 182 212 260 265 364 371 455 530 689 742 910 1060 1378 1484 1789 1820 1855 2756 3445 3578 3710 4823 6890 7156 7420 8945 9646 12523 13780 17890 19292 23257 24115 25046 35780 46514 48230 50092 62615 93028 94817 96460 116285 125230 162799 189634 232570 250460 325598 379268 465140 474085 651196 663719 813995 948170 1232621 1327438 1627990 1896340 2465242 2654876 3255980 3318595 4930484 6163105 6637190 8628347 12326210 13274380 17256694 24652420 34513388 43141735 86283470 172566940