Search a number
-
+
172428040 = 23519211941
BaseRepresentation
bin10100100011100…
…00101100001000
3110000110020210201
422101300230020
5323120144130
625035421544
74162420441
oct1221605410
9400406721
10172428040
1189370814
12498b48b4
1329952535
1418c862c8
151020ebca
hexa470b08

172428040 has 48 divisors (see below), whose sum is σ = 409491180. Its totient is φ = 65335680.

The previous prime is 172428019. The next prime is 172428049. The reversal of 172428040 is 40824271.

It can be written as a sum of positive squares in 2 ways, for example, as 165945924 + 6482116 = 12882^2 + 2546^2 .

It is not an unprimeable number, because it can be changed into a prime (172428049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8470 + ... + 20410.

Almost surely, 2172428040 is an apocalyptic number.

172428040 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 172428040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204745590).

172428040 is an abundant number, since it is smaller than the sum of its proper divisors (237063140).

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

172428040 is a wasteful number, since it uses less digits than its factorization.

172428040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11990 (or 11967 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 172428040 is about 13131.1857804236. The cubic root of 172428040 is about 556.5907235414.

The spelling of 172428040 in words is "one hundred seventy-two million, four hundred twenty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 361 380 722 760 1444 1805 2888 3610 7220 11941 14440 23882 47764 59705 95528 119410 226879 238820 453758 477640 907516 1134395 1815032 2268790 4310701 4537580 8621402 9075160 17242804 21553505 34485608 43107010 86214020 172428040