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1048740240 = 243541910429
BaseRepresentation
bin111110100000101…
…000000110010000
32201002101112011010
4332200220012100
54121434141430
6252022050520
734663100502
oct7640500620
92632345133
101048740240
11498a94079
12253279a40
13139374072
149d3d7d72
156210ccb0
hex3e828190

1048740240 has 80 divisors (see below), whose sum is σ = 3259166400. Its totient is φ = 278969856.

The previous prime is 1048740239. The next prime is 1048740241. The reversal of 1048740240 is 420478401.

It is an interprime number because it is at equal distance from previous prime (1048740239) and next prime (1048740241).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1048740198 and 1048740207.

It is not an unprimeable number, because it can be changed into a prime (1048740241) 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 15 ways as a sum of consecutive naturals, for example, 95346 + ... + 105774.

It is an arithmetic number, because the mean of its divisors is an integer number (40739580).

Almost surely, 21048740240 is an apocalyptic number.

1048740240 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 1048740240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629583200).

1048740240 is an abundant number, since it is smaller than the sum of its proper divisors (2210426160).

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

1048740240 is a wasteful number, since it uses less digits than its factorization.

1048740240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10864 (or 10858 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 1048740240 is about 32384.2591392794. The cubic root of 1048740240 is about 1015.9897130419.

The spelling of 1048740240 in words is "one billion, forty-eight million, seven hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 419 838 1257 1676 2095 2514 3352 4190 5028 6285 6704 8380 10056 10429 12570 16760 20112 20858 25140 31287 33520 41716 50280 52145 62574 83432 100560 104290 125148 156435 166864 208580 250296 312870 417160 500592 625740 834320 1251480 2502960 4369751 8739502 13109253 17479004 21848755 26218506 34958008 43697510 52437012 65546265 69916016 87395020 104874024 131092530 174790040 209748048 262185060 349580080 524370120 1048740240