Search a number
-
+
172020288 = 26311791031
BaseRepresentation
bin10100100000011…
…01001001000000
3102222200112110210
422100031021000
5323014122123
625022554120
74156101606
oct1220151100
9388615423
10172020288
1189112430
1249738940
132983ba6b
1418bbb876
151017de93
hexa40d240

172020288 has 112 divisors (see below), whose sum is σ = 503285760. Its totient is φ = 51417600.

The previous prime is 172020287. The next prime is 172020293. The reversal of 172020288 is 882020271.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (172020283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166333 + ... + 167363.

Almost surely, 2172020288 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 172020288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251642880).

172020288 is an abundant number, since it is smaller than the sum of its proper divisors (331265472).

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

172020288 is a wasteful number, since it uses less digits than its factorization.

172020288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 172020288 is about 13115.6504985456. The cubic root of 172020288 is about 556.1516416082.

The spelling of 172020288 in words is "one hundred seventy-two million, twenty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 79 88 96 132 158 176 192 237 264 316 352 474 528 632 704 869 948 1031 1056 1264 1738 1896 2062 2112 2528 2607 3093 3476 3792 4124 5056 5214 6186 6952 7584 8248 10428 11341 12372 13904 15168 16496 20856 22682 24744 27808 32992 34023 41712 45364 49488 55616 65984 68046 81449 83424 90728 98976 136092 162898 166848 181456 197952 244347 272184 325796 362912 488694 544368 651592 725824 895939 977388 1088736 1303184 1791878 1954776 2177472 2606368 2687817 3583756 3909552 5212736 5375634 7167512 7819104 10751268 14335024 15638208 21502536 28670048 43005072 57340096 86010144 172020288