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1420202504 = 237311994111
BaseRepresentation
bin101010010100110…
…1001001000001000
310122222100202120202
41110221221020020
510402032440004
6352531511332
750123344040
oct12451511010
93588322522
101420202504
11669738186
12337758548
13198303116
14d6890720
1584a35b1e
hex54a69208

1420202504 has 64 divisors (see below), whose sum is σ = 3158016000. Its totient is φ = 585921600.

The previous prime is 1420202503. The next prime is 1420202507. The reversal of 1420202504 is 4052020241.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1420202501) 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, 343409 + ... + 347519.

It is an arithmetic number, because the mean of its divisors is an integer number (49344000).

Almost surely, 21420202504 is an apocalyptic number.

1420202504 is a gapful number since it is divisible by the number (14) 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 1420202504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579008000).

1420202504 is an abundant number, since it is smaller than the sum of its proper divisors (1737813496).

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

1420202504 is a wasteful number, since it uses less digits than its factorization.

1420202504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4354 (or 4350 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 1420202504 is about 37685.5742161374. The cubic root of 1420202504 is about 1124.0442922732.

Adding to 1420202504 its reverse (4052020241), we get a palindrome (5472222745).

The spelling of 1420202504 in words is "one billion, four hundred twenty million, two hundred two thousand, five hundred four".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 199 217 248 398 434 796 868 1393 1592 1736 2786 4111 5572 6169 8222 11144 12338 16444 24676 28777 32888 43183 49352 57554 86366 115108 127441 172732 230216 254882 345464 509764 818089 892087 1019528 1636178 1784174 3272356 3568348 5726623 6544712 7136696 11453246 22906492 25360759 45812984 50721518 101443036 177525313 202886072 355050626 710101252 1420202504