Search a number
-
+
68873310 = 23251173953
BaseRepresentation
bin1000001101011…
…10110001011110
311210121010102100
410012232301132
5120112421220
610500105530
71464261552
oct406566136
9153533370
1068873310
11359715a0
121b0952a6
1311365a4c
14920b862
1560a6d90
hex41aec5e

68873310 has 96 divisors (see below), whose sum is σ = 198233568. Its totient is φ = 16450560.

The previous prime is 68873291. The next prime is 68873323. The reversal of 68873310 is 1337886.

It is a super-2 number, since 2×688733102 = 9487065660712200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71794 + ... + 72746.

It is an arithmetic number, because the mean of its divisors is an integer number (2064933).

Almost surely, 268873310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68873310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99116784).

68873310 is an abundant number, since it is smaller than the sum of its proper divisors (129360258).

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

68873310 is a wasteful number, since it uses less digits than its factorization.

68873310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 68873310 is about 8298.9945174099. The cubic root of 68873310 is about 409.9054114536.

It can be divided in two parts, 68 and 873310, that added together give a palindrome (873378).

The spelling of 68873310 in words is "sixty-eight million, eight hundred seventy-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 73 90 99 110 146 165 198 219 330 365 438 495 657 730 803 953 990 1095 1314 1606 1906 2190 2409 2859 3285 4015 4765 4818 5718 6570 7227 8030 8577 9530 10483 12045 14295 14454 17154 20966 24090 28590 31449 36135 42885 52415 62898 69569 72270 85770 94347 104830 139138 157245 188694 208707 314490 347845 417414 471735 626121 695690 765259 943470 1043535 1252242 1530518 2087070 2295777 3130605 3826295 4591554 6261210 6887331 7652590 11478885 13774662 22957770 34436655 68873310