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173407072 = 2517192883
BaseRepresentation
bin10100101010111…
…11101101100000
3110002021222210011
422111133231200
5323343011242
625112414304
74203635656
oct1225375540
9402258704
10173407072
118997a333
124a0a7394
1329c06047
141905cdd6
1510354d17
hexa55fb60

173407072 has 72 divisors (see below), whose sum is σ = 381935736. Its totient is φ = 77220864.

The previous prime is 173407009. The next prime is 173407093. The reversal of 173407072 is 270704371.

173407072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1734070722 = 60140025239226368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 195943 + ... + 196825.

It is an arithmetic number, because the mean of its divisors is an integer number (5304663).

Almost surely, 2173407072 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 173407072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190967868).

173407072 is an abundant number, since it is smaller than the sum of its proper divisors (208528664).

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

173407072 is a wasteful number, since it uses less digits than its factorization.

173407072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 31.

The square root of 173407072 is about 13168.4119012127. The cubic root of 173407072 is about 557.6421612566.

The spelling of 173407072 in words is "one hundred seventy-three million, four hundred seven thousand, seventy-two".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 272 304 323 361 544 608 646 722 883 1292 1444 1766 2584 2888 3532 5168 5776 6137 7064 10336 11552 12274 14128 15011 16777 24548 28256 30022 33554 49096 60044 67108 98192 120088 134216 196384 240176 268432 285209 318763 480352 536864 570418 637526 1140836 1275052 2281672 2550104 4563344 5100208 5418971 9126688 10200416 10837942 21675884 43351768 86703536 173407072