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69420384 = 253211171289
BaseRepresentation
bin1000010001101…
…00010101100000
311211121220212100
410020310111200
5120232423014
610515530400
71502030535
oct410642540
9154556770
1069420384
1136205620
121b2b9a00
13114c7a67
149310d8c
156164009
hex4234560

69420384 has 144 divisors (see below), whose sum is σ = 228206160. Its totient is φ = 19783680.

The previous prime is 69420383. The next prime is 69420391. The reversal of 69420384 is 48302496.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69420383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53212 + ... + 54500.

It is an arithmetic number, because the mean of its divisors is an integer number (1584765).

Almost surely, 269420384 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 69420384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114103080).

69420384 is an abundant number, since it is smaller than the sum of its proper divisors (158785776).

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

69420384 is a wasteful number, since it uses less digits than its factorization.

69420384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 69420384 is about 8331.8895816015. The cubic root of 69420384 is about 410.9878697114.

The spelling of 69420384 in words is "sixty-nine million, four hundred twenty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 32 33 34 36 44 48 51 66 68 72 88 96 99 102 132 136 144 153 176 187 198 204 264 272 288 306 352 374 396 408 528 544 561 612 748 792 816 1056 1122 1224 1289 1496 1584 1632 1683 2244 2448 2578 2992 3168 3366 3867 4488 4896 5156 5984 6732 7734 8976 10312 11601 13464 14179 15468 17952 20624 21913 23202 26928 28358 30936 41248 42537 43826 46404 53856 56716 61872 65739 85074 87652 92808 113432 123744 127611 131478 170148 175304 185616 197217 226864 241043 255222 262956 340296 350608 371232 394434 453728 482086 510444 525912 680592 701216 723129 788868 964172 1020888 1051824 1361184 1446258 1577736 1928344 2041776 2103648 2169387 2892516 3155472 3856688 4083552 4338774 5785032 6310944 7713376 8677548 11570064 17355096 23140128 34710192 69420384