Search a number
-
+
172240107460 = 2258612005373
BaseRepresentation
bin1010000001101001001…
…1110111011111000100
3121110120201011000212021
42200122103313133010
510310221431414320
6211043115132524
715305161520461
oct2403223673704
9543521130767
10172240107460
1167057061053
122946aa44144
131331c08c165
14849d394668
15473133adaa
hex281a4f77c4

172240107460 has 12 divisors (see below), whose sum is σ = 361704225708. Its totient is φ = 68896042976.

The previous prime is 172240107433. The next prime is 172240107461. The reversal of 172240107460 is 64701042271.

It is a happy number.

172240107460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 118815332416 + 53424775044 = 344696^2 + 231138^2 .

It is a super-3 number, since 3×1722401074603 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (172240107461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4306002667 + ... + 4306002706.

It is an arithmetic number, because the mean of its divisors is an integer number (30142018809).

Almost surely, 2172240107460 is an apocalyptic number.

172240107460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172240107460 is an abundant number, since it is smaller than the sum of its proper divisors (189464118248).

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

172240107460 is a wasteful number, since it uses less digits than its factorization.

172240107460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8612005382 (or 8612005380 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The spelling of 172240107460 in words is "one hundred seventy-two billion, two hundred forty million, one hundred seven thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 8612005373 17224010746 34448021492 43060026865 86120053730 172240107460