Search a number
-
+
69231240 = 23335134931
BaseRepresentation
bin1000010000001…
…10001010001000
311211021022102000
410020012022020
5120210344430
610511511000
71500312231
oct410061210
9154238360
1069231240
1136096501
121b228460
131145c940
1492a2088
156127e60
hex4206288

69231240 has 128 divisors (see below), whose sum is σ = 248572800. Its totient is φ = 17038080.

The previous prime is 69231221. The next prime is 69231251. The reversal of 69231240 is 4213296.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11575 + ... + 16505.

It is an arithmetic number, because the mean of its divisors is an integer number (1941975).

Almost surely, 269231240 is an apocalyptic number.

69231240 is a gapful number since it is divisible by the number (60) 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 69231240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124286400).

69231240 is an abundant number, since it is smaller than the sum of its proper divisors (179341560).

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

69231240 is a wasteful number, since it uses less digits than its factorization.

69231240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4964 (or 4954 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 69231240 is about 8320.5312330404. The cubic root of 69231240 is about 410.6142686047.

The spelling of 69231240 in words is "sixty-nine million, two hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 4931 7020 9862 14040 14793 19724 24655 29586 39448 44379 49310 59172 64103 73965 88758 98620 118344 128206 133137 147930 177516 192309 197240 221895 256412 266274 295860 320515 355032 384618 443790 512824 532548 576927 591720 641030 665685 769236 887580 961545 1065096 1153854 1282060 1331370 1538472 1730781 1775160 1923090 2307708 2564120 2662740 2884635 3461562 3846180 4615416 5325480 5769270 6923124 7692360 8653905 11538540 13846248 17307810 23077080 34615620 69231240