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1003420240 = 24517737809
BaseRepresentation
bin111011110011101…
…111101001010000
32120221010000210121
4323303233221100
54023333421430
6243322440024
733602634304
oct7363575120
92527100717
101003420240
1147544a529
12240063014
1312cb66bb4
149739bd04
155d159a7a
hex3bcefa50

1003420240 has 40 divisors (see below), whose sum is σ = 2470187880. Its totient is φ = 377757696.

The previous prime is 1003420199. The next prime is 1003420273. The reversal of 1003420240 is 420243001.

It can be written as a sum of positive squares in 4 ways, for example, as 35712576 + 967707664 = 5976^2 + 31108^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 367545 + ... + 370264.

It is an arithmetic number, because the mean of its divisors is an integer number (61754697).

Almost surely, 21003420240 is an apocalyptic number.

1003420240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003420240 is an abundant number, since it is smaller than the sum of its proper divisors (1466767640).

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

1003420240 is a wasteful number, since it uses less digits than its factorization.

1003420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737839 (or 737833 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1003420240 is about 31676.8091827444. The cubic root of 1003420240 is about 1001.1387826817.

Adding to 1003420240 its reverse (420243001), we get a palindrome (1423663241).

The spelling of 1003420240 in words is "one billion, three million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 737809 1475618 2951236 3689045 5902472 7378090 11804944 12542753 14756180 25085506 29512360 50171012 59024720 62713765 100342024 125427530 200684048 250855060 501710120 1003420240