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420213440 = 2653735491
BaseRepresentation
bin11001000010111…
…111001011000000
31002021201001110202
4121002333023000
51330033312230
6105410344332
713261520033
oct3102771300
91067631422
10420213440
111a6221639
12b888b0a8
136909ac0a
143db4701a
1526d57a45
hex190bf2c0

420213440 has 56 divisors (see below), whose sum is σ = 1027706352. Its totient is φ = 163537920.

The previous prime is 420213379. The next prime is 420213457. The reversal of 420213440 is 44312024.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 5906 + ... + 29585.

Almost surely, 2420213440 is an apocalyptic number.

420213440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420213440 is an abundant number, since it is smaller than the sum of its proper divisors (607492912).

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

420213440 is a wasteful number, since it uses less digits than its factorization.

420213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35545 (or 35535 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 420213440 is about 20499.1082732884. The cubic root of 420213440 is about 749.0140763592.

Adding to 420213440 its reverse (44312024), we get a palindrome (464525464).

The spelling of 420213440 in words is "four hundred twenty million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 148 160 185 296 320 370 592 740 1184 1480 2368 2960 5920 11840 35491 70982 141964 177455 283928 354910 567856 709820 1135712 1313167 1419640 2271424 2626334 2839280 5252668 5678560 6565835 10505336 11357120 13131670 21010672 26263340 42021344 52526680 84042688 105053360 210106720 420213440