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172973140 = 22515535569
BaseRepresentation
bin10100100111101…
…01110001010100
3110001110221112121
422103311301110
5323240120030
625055225324
74200150604
oct1223656124
9401427477
10172973140
118970330a
1249b18244
1329ab3692
1418d88c04
15102bb47a
hexa4f5c54

172973140 has 24 divisors (see below), whose sum is σ = 363542760. Its totient is φ = 69132288.

The previous prime is 172973117. The next prime is 172973161. The reversal of 172973140 is 41379271.

172973140 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 4 ways, for example, as 1153476 + 171819664 = 1074^2 + 13108^2 .

It is a super-2 number, since 2×1729731402 = 59839414322919200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 172973096 and 172973105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28276 + ... + 33844.

It is an arithmetic number, because the mean of its divisors is an integer number (15147615).

Almost surely, 2172973140 is an apocalyptic number.

172973140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172973140 is an abundant number, since it is smaller than the sum of its proper divisors (190569620).

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

172973140 is a wasteful number, since it uses less digits than its factorization.

172973140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7131 (or 7129 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 172973140 is about 13151.9253343379. The cubic root of 172973140 is about 557.1766268000.

The spelling of 172973140 in words is "one hundred seventy-two million, nine hundred seventy-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 1553 3106 5569 6212 7765 11138 15530 22276 27845 31060 55690 111380 8648657 17297314 34594628 43243285 86486570 172973140