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1493652960 = 2535541937
BaseRepresentation
bin101100100000111…
…0101010111100000
310212002120102200000
41121001311113200
511024333343320
6404114100000
752004561232
oct13101652740
93762512600
101493652960
116a7145638
1235827a600
131aa5ac327
14102530252
158b1e3c90
hex590755e0

1493652960 has 288 divisors, whose sum is σ = 5420574432. Its totient is φ = 388177920.

The previous prime is 1493652949. The next prime is 1493652983. The reversal of 1493652960 is 692563941.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1593612 + ... + 1594548.

It is an arithmetic number, because the mean of its divisors is an integer number (18821439).

Almost surely, 21493652960 is an apocalyptic number.

1493652960 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 1493652960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710287216).

1493652960 is an abundant number, since it is smaller than the sum of its proper divisors (3926921472).

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

1493652960 is an equidigital number, since it uses as much as digits as its factorization.

1493652960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 1493652960 is about 38647.8066648031. The cubic root of 1493652960 is about 1143.0973938957.

It can be divided in two parts, 14936 and 52960, that added together give a triangular number (67896 = T368).

The spelling of 1493652960 in words is "one billion, four hundred ninety-three million, six hundred fifty-two thousand, nine hundred sixty".