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1490163840 = 273251129811
BaseRepresentation
bin101100011010010…
…0001100010000000
310211212000011111100
41120310201202000
511022440220330
6403511214400
751633116664
oct13064414200
93755004440
101490163840
116a5182170
12357077400
131a995a169
14101ca28a4
158ac55060
hex58d21880

1490163840 has 384 divisors, whose sum is σ = 5814244800. Its totient is φ = 348364800.

The previous prime is 1490163821. The next prime is 1490163853. The reversal of 1490163840 is 483610941.

1490163840 is a `hidden beast` number, since 1 + 490 + 163 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×14901638403 (a number of 28 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1490163795 and 1490163804.

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, 1837035 + ... + 1837845.

Almost surely, 21490163840 is an apocalyptic number.

1490163840 is a gapful number since it is divisible by the number (10) 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 1490163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2907122400).

1490163840 is an abundant number, since it is smaller than the sum of its proper divisors (4324080960).

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

1490163840 is a wasteful number, since it uses less digits than its factorization.

1490163840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 861 counting only the distinct ones).

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

The square root of 1490163840 is about 38602.6403242058. The cubic root of 1490163840 is about 1142.2066216945.

The spelling of 1490163840 in words is "one billion, four hundred ninety million, one hundred sixty-three thousand, eight hundred forty".