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420323124 = 2231371137277
BaseRepresentation
bin11001000011011…
…001111100110100
31002021220121221010
4121003121330310
51330100314444
6105412552220
713262454564
oct3103317464
91067817833
10420323124
111a6296a91
12b8922670
1369108b10
143db74da4
1526d7a2b9
hex190d9f34

420323124 has 96 divisors (see below), whose sum is σ = 1082785536. Its totient is φ = 126120960.

The previous prime is 420323119. The next prime is 420323131. The reversal of 420323124 is 421323024.

It is a self number, because there is not a number n which added to its sum of digits gives 420323124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1517274 + ... + 1517550.

It is an arithmetic number, because the mean of its divisors is an integer number (11279016).

Almost surely, 2420323124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420323124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541392768).

420323124 is an abundant number, since it is smaller than the sum of its proper divisors (662462412).

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

420323124 is a wasteful number, since it uses less digits than its factorization.

420323124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 420323124 is about 20501.7834346186. The cubic root of 420323124 is about 749.0792398413.

Adding to 420323124 its reverse (421323024), we get a palindrome (841646148).

The spelling of 420323124 in words is "four hundred twenty million, three hundred twenty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 71 78 137 142 156 213 274 277 284 411 426 548 554 822 831 852 923 1108 1644 1662 1781 1846 2769 3324 3562 3601 3692 5343 5538 7124 7202 9727 10686 10803 11076 14404 19454 19667 21372 21606 29181 37949 38908 39334 43212 58362 59001 75898 78668 113847 116724 118002 126451 151796 227694 236004 252902 255671 379353 455388 493337 505804 511342 758706 767013 986674 1022684 1480011 1517412 1534026 1973348 2694379 2960022 3068052 5388758 5920044 8083137 10777516 16166274 32332548 35026927 70053854 105080781 140107708 210161562 420323124