Search a number
-
+
740019980 = 2257193773103
BaseRepresentation
bin101100000110111…
…100111100001100
31220120110220120102
4230012330330030
53003421114410
6201233110232
724224031440
oct5406747414
91816426512
10740019980
1134a7a3a67
121879b8378
13ba41205b
14703d4820
1544e7a2a5
hex2c1bcf0c

740019980 has 192 divisors, whose sum is σ = 1965250560. Its totient is φ = 228427776.

The previous prime is 740019977. The next prime is 740019989. The reversal of 740019980 is 89910047.

740019980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

740019980 is a modest number, since divided by 19980 gives 740 as remainder.

It is not an unprimeable number, because it can be changed into a prime (740019989) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7184609 + ... + 7184711.

It is an arithmetic number, because the mean of its divisors is an integer number (10235680).

Almost surely, 2740019980 is an apocalyptic number.

740019980 is a gapful number since it is divisible by the number (70) 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 740019980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982625280).

740019980 is an abundant number, since it is smaller than the sum of its proper divisors (1225230580).

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

740019980 is a wasteful number, since it uses less digits than its factorization.

740019980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 740019980 is about 27203.3082546958. The cubic root of 740019980 is about 904.5123101153.

The spelling of 740019980 in words is "seven hundred forty million, nineteen thousand, nine hundred eighty".