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535233420 = 223451917389
BaseRepresentation
bin11111111001110…
…000001110001100
31101022010200020000
4133321300032030
52044004432140
6125035524300
716156260201
oct3771601614
91338120200
10535233420
11255141877
1212b2b9690
1386b70187
1451127ca8
1531ec7a30
hex1fe7038c

535233420 has 120 divisors (see below), whose sum is σ = 1767519600. Its totient is φ = 135209088.

The previous prime is 535233359. The next prime is 535233469. The reversal of 535233420 is 24332535.

535233420 is a `hidden beast` number, since 5 + 3 + 5 + 233 + 420 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22086 + ... + 39474.

It is an arithmetic number, because the mean of its divisors is an integer number (14729330).

Almost surely, 2535233420 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 535233420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883759800).

535233420 is an abundant number, since it is smaller than the sum of its proper divisors (1232286180).

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

535233420 is a wasteful number, since it uses less digits than its factorization.

535233420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17429 (or 17418 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 535233420 is about 23135.1122755002. The cubic root of 535233420 is about 811.9221838927.

Adding to 535233420 its reverse (24332535), we get a palindrome (559565955).

The spelling of 535233420 in words is "five hundred thirty-five million, two hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 270 285 324 342 380 405 513 540 570 684 810 855 1026 1140 1539 1620 1710 2052 2565 3078 3420 5130 6156 7695 10260 15390 17389 30780 34778 52167 69556 86945 104334 156501 173890 208668 260835 313002 330391 347780 469503 521670 626004 660782 782505 939006 991173 1043340 1321564 1408509 1565010 1651955 1878012 1982346 2347515 2817018 2973519 3130020 3303910 3964692 4695030 4955865 5634036 5947038 6607820 7042545 8920557 9390060 9911730 11894076 14085090 14867595 17841114 19823460 26761671 28170180 29735190 35682228 44602785 53523342 59470380 89205570 107046684 133808355 178411140 267616710 535233420