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172864680 = 23353121499
BaseRepresentation
bin10100100110110…
…11010010101000
3110001021102202120
422103123102220
5323223132210
625053031240
74166216442
oct1223332250
9401242676
10172864680
118963987a
1249a85520
1329a761c1
1418d5b492
1510299270
hexa4db4a8

172864680 has 96 divisors (see below), whose sum is σ = 536220000. Its totient is φ = 44580480.

The previous prime is 172864673. The next prime is 172864691. The reversal of 172864680 is 86468271.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114571 + ... + 116069.

It is an arithmetic number, because the mean of its divisors is an integer number (5585625).

Almost surely, 2172864680 is an apocalyptic number.

172864680 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 172864680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268110000).

172864680 is an abundant number, since it is smaller than the sum of its proper divisors (363355320).

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

172864680 is a wasteful number, since it uses less digits than its factorization.

172864680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 172864680 is about 13147.8013371058. The cubic root of 172864680 is about 557.0601462640.

The spelling of 172864680 in words is "one hundred seventy-two million, eight hundred sixty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 961 1240 1499 1860 1922 2883 2998 3720 3844 4497 4805 5766 5996 7495 7688 8994 9610 11532 11992 14415 14990 17988 19220 22485 23064 28830 29980 35976 38440 44970 46469 57660 59960 89940 92938 115320 139407 179880 185876 232345 278814 371752 464690 557628 697035 929380 1115256 1394070 1440539 1858760 2788140 2881078 4321617 5576280 5762156 7202695 8643234 11524312 14405390 17286468 21608085 28810780 34572936 43216170 57621560 86432340 172864680