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424122240 = 2735220897
BaseRepresentation
bin11001010001111…
…001011110000000
31002120001122100010
4121101321132000
51332033402430
6110030224520
713336656663
oct3121713600
91076048303
10424122240
111a8451353
12ba055140
1369b39109
14404836da
152737acb0
hex19479780

424122240 has 64 divisors (see below), whose sum is σ = 1351895760. Its totient is φ = 113098752.

The previous prime is 424122229. The next prime is 424122247. The reversal of 424122240 is 42221424.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424122247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108529 + ... + 112368.

Almost surely, 2424122240 is an apocalyptic number.

424122240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424122240 is an abundant number, since it is smaller than the sum of its proper divisors (927773520).

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

424122240 is a wasteful number, since it uses less digits than its factorization.

424122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220919 (or 220907 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 424122240 is about 20594.2283176622. The cubic root of 424122240 is about 751.3293401919.

Adding to 424122240 its reverse (42221424), we get a palindrome (466343664).

The spelling of 424122240 in words is "four hundred twenty-four million, one hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 220897 441794 662691 883588 1104485 1325382 1767176 2208970 2650764 3313455 3534352 4417940 5301528 6626910 7068704 8835880 10603056 13253820 14137408 17671760 21206112 26507640 28274816 35343520 42412224 53015280 70687040 84824448 106030560 141374080 212061120 424122240