Search a number
-
+
145703286 = 2351931509
BaseRepresentation
bin10001010111101…
…00000101110110
3101011011111100000
420223310011312
5244300001121
622242532130
73416312631
oct1053640566
9334144300
10145703286
1175278043
1240967046
1324256281
14154cac18
15cbd1526
hex8af4176

145703286 has 96 divisors (see below), whose sum is σ = 356428800. Its totient is φ = 44439840.

The previous prime is 145703269. The next prime is 145703287. The reversal of 145703286 is 682307541.

145703286 is a `hidden beast` number, since 1 + 4 + 570 + 3 + 2 + 86 = 666.

145703286 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 145703286.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145703287) 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, 286000 + ... + 286508.

It is an arithmetic number, because the mean of its divisors is an integer number (3712800).

Almost surely, 2145703286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145703286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178214400).

145703286 is an abundant number, since it is smaller than the sum of its proper divisors (210725514).

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

145703286 is a wasteful number, since it uses less digits than its factorization.

145703286 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 145703286 is about 12070.7616164018. The cubic root of 145703286 is about 526.2067912308.

The spelling of 145703286 in words is "one hundred forty-five million, seven hundred three thousand, two hundred eighty-six".

Divisors: 1 2 3 6 9 18 19 27 31 38 54 57 62 81 93 114 162 171 186 243 279 342 486 509 513 558 589 837 1018 1026 1178 1527 1539 1674 1767 2511 3054 3078 3534 4581 4617 5022 5301 7533 9162 9234 9671 10602 13743 15066 15779 15903 19342 27486 29013 31558 31806 41229 47337 47709 58026 82458 87039 94674 95418 123687 142011 143127 174078 247374 261117 284022 286254 299801 426033 522234 599602 783351 852066 899403 1278099 1566702 1798806 2350053 2556198 2698209 3834297 4700106 5396418 7668594 8094627 16189254 24283881 48567762 72851643 145703286