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420044724 = 223311232143
BaseRepresentation
bin11001000010010…
…101111110110100
31002021101111001000
4121002111332310
51330012412344
6105403003300
713260215121
oct3102257664
91067344030
10420044724
111a6116900
12b8809530
136903c198
143db01748
1526d22a69
hex19095fb4

420044724 has 72 divisors (see below), whose sum is σ = 1197042560. Its totient is φ = 127282320.

The previous prime is 420044707. The next prime is 420044741. The reversal of 420044724 is 427440024.

It is an interprime number because it is at equal distance from previous prime (420044707) and next prime (420044741).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3004 + ... + 29139.

Almost surely, 2420044724 is an apocalyptic number.

420044724 is a gapful number since it is divisible by the number (44) 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 420044724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598521280).

420044724 is an abundant number, since it is smaller than the sum of its proper divisors (776997836).

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

420044724 is a wasteful number, since it uses less digits than its factorization.

420044724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32178 (or 32159 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 420044724 is about 20494.9926567442. The cubic root of 420044724 is about 748.9138197092.

Adding to 420044724 its reverse (427440024), we get a palindrome (847484748).

The spelling of 420044724 in words is "four hundred twenty million, forty-four thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 1089 1188 1452 2178 3267 4356 6534 13068 32143 64286 96429 128572 192858 289287 353573 385716 578574 707146 867861 1060719 1157148 1414292 1735722 2121438 3182157 3471444 3889303 4242876 6364314 7778606 9546471 11667909 12728628 15557212 19092942 23335818 35003727 38185884 46671636 70007454 105011181 140014908 210022362 420044724