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168628746 = 2311213171051
BaseRepresentation
bin10100000110100…
…01001000001010
3102202022020011010
422003101020022
5321132104441
624422144350
74115214666
oct1203211012
9382266133
10168628746
1187206300
12485820b6
1328c22130
14185778a6
15ec0e116
hexa0d120a

168628746 has 96 divisors (see below), whose sum is σ = 423105984. Its totient is φ = 44352000.

The previous prime is 168628741. The next prime is 168628771. The reversal of 168628746 is 647826861.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 168628695 and 168628704.

It is not an unprimeable number, because it can be changed into a prime (168628741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159921 + ... + 160971.

It is an arithmetic number, because the mean of its divisors is an integer number (4407354).

Almost surely, 2168628746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168628746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211552992).

168628746 is an abundant number, since it is smaller than the sum of its proper divisors (254477238).

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

168628746 is a wasteful number, since it uses less digits than its factorization.

168628746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1097 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 168628746 is about 12985.7131494578. The cubic root of 168628746 is about 552.4723364731.

The spelling of 168628746 in words is "one hundred sixty-eight million, six hundred twenty-eight thousand, seven hundred forty-six".

Divisors: 1 2 3 6 11 13 17 22 26 33 34 39 51 66 78 102 121 143 187 221 242 286 363 374 429 442 561 663 726 858 1051 1122 1326 1573 2057 2102 2431 3146 3153 4114 4719 4862 6171 6306 7293 9438 11561 12342 13663 14586 17867 23122 26741 27326 34683 35734 40989 53482 53601 69366 80223 81978 107202 127171 150293 160446 196537 232271 254342 300586 381513 393074 450879 464542 589611 696813 763026 901758 1179222 1393626 1653223 2161907 2554981 3306446 4323814 4959669 5109962 6485721 7664943 9919338 12971442 15329886 28104791 56209582 84314373 168628746