Search a number
-
+
1290066450 = 235229714177
BaseRepresentation
bin100110011100100…
…1101101000010010
310022220111011110220
41030321031220102
510120224111300
6332002333510
743653245451
oct11471155022
93286434426
101290066450
11602233022
1230005a296
1317736a73a
14c3496b98
15783cbda0
hex4ce4da12

1290066450 has 96 divisors (see below), whose sum is σ = 3357106560. Its totient is φ = 327398400.

The previous prime is 1290066433. The next prime is 1290066467. The reversal of 1290066450 is 546600921.

It is an interprime number because it is at equal distance from previous prime (1290066433) and next prime (1290066467).

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, 306762 + ... + 310938.

It is an arithmetic number, because the mean of its divisors is an integer number (34969860).

Almost surely, 21290066450 is an apocalyptic number.

1290066450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1290066450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678553280).

1290066450 is an abundant number, since it is smaller than the sum of its proper divisors (2067040110).

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

1290066450 is a wasteful number, since it uses less digits than its factorization.

1290066450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4292 (or 4287 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 1290066450 is about 35917.4950407180. The cubic root of 1290066450 is about 1088.6059247655.

The spelling of 1290066450 in words is "one billion, two hundred ninety million, sixty-six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 71 75 87 142 145 150 174 213 290 355 426 435 710 725 870 1065 1450 1775 2059 2130 2175 3550 4118 4177 4350 5325 6177 8354 10295 10650 12354 12531 20590 20885 25062 30885 41770 51475 61770 62655 102950 104425 121133 125310 154425 208850 242266 296567 308850 313275 363399 593134 605665 626550 726798 889701 1211330 1482835 1779402 1816995 2965670 3028325 3633990 4448505 6056650 7414175 8600443 8897010 9084975 14828350 17200886 18169950 22242525 25801329 43002215 44485050 51602658 86004430 129006645 215011075 258013290 430022150 645033225 1290066450