Search a number
-
+
1430148096 = 210331323173
BaseRepresentation
bin101010100111110…
…0101010000000000
310200200002001101000
41111033211100000
510412104214341
6353525012000
750304025656
oct12517452000
93620061330
101430148096
11674310483
1233ab54000
1319a3a5ca0
14d7d1cdd6
158584c8b6
hex553e5400

1430148096 has 352 divisors, whose sum is σ = 4787032320. Its totient is φ = 418480128.

The previous prime is 1430148067. The next prime is 1430148113. The reversal of 1430148096 is 6908410341.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1430148096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8266666 + ... + 8266838.

Almost surely, 21430148096 is an apocalyptic number.

1430148096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1430148096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393516160).

1430148096 is an abundant number, since it is smaller than the sum of its proper divisors (3356884224).

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

1430148096 is a wasteful number, since it uses less digits than its factorization.

1430148096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1430148096 is about 37817.2988987844. The cubic root of 1430148096 is about 1126.6620623895.

The spelling of 1430148096 in words is "one billion, four hundred thirty million, one hundred forty-eight thousand, ninety-six".