Search a number
-
+
1480923840 = 26351131961
BaseRepresentation
bin101100001000101…
…0001101011000000
310211012121201121010
41120101101223000
511013104030330
6402541200520
751461434134
oct13021215300
93735551533
101480923840
1169aa41000
12353b60140
131a7a734c6
141009793c4
158a02c3b0
hex58451ac0

1480923840 has 448 divisors, whose sum is σ = 5533217280. Its totient is φ = 334540800.

The previous prime is 1480923833. The next prime is 1480923841. The reversal of 1480923840 is 483290841.

1480923840 = T365 + T366 + ... + T2074.

It is not an unprimeable number, because it can be changed into a prime (1480923841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24277410 + ... + 24277470.

Almost surely, 21480923840 is an apocalyptic number.

1480923840 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 1480923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766608640).

1480923840 is an abundant number, since it is smaller than the sum of its proper divisors (4052293440).

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

1480923840 is a wasteful number, since it uses less digits than its factorization.

1480923840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 1480923840 is about 38482.7732888367. The cubic root of 1480923840 is about 1139.8409134731.

The spelling of 1480923840 in words is "one billion, four hundred eighty million, nine hundred twenty-three thousand, eight hundred forty".