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69225840 = 243651187
BaseRepresentation
bin1000010000001…
…00110101110000
311211021001000000
410020010311300
5120210211330
610511430000
71500260415
oct410046560
9154231000
1069225840
1136092442
121b225300
131145a348
1492a010c
156126560
hex4204d70

69225840 has 140 divisors (see below), whose sum is σ = 241518024. Its totient is φ = 18444672.

The previous prime is 69225839. The next prime is 69225851. The reversal of 69225840 is 4852296.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 69225795 and 69225804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 57727 + ... + 58913.

Almost surely, 269225840 is an apocalyptic number.

69225840 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 69225840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120759012).

69225840 is an abundant number, since it is smaller than the sum of its proper divisors (172292184).

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

69225840 is a wasteful number, since it uses less digits than its factorization.

69225840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 69225840 is about 8320.2067282009. The cubic root of 69225840 is about 410.6035924287.

The spelling of 69225840 in words is "sixty-nine million, two hundred twenty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 729 810 972 1080 1187 1215 1296 1458 1620 1944 2160 2374 2430 2916 3240 3561 3645 3888 4748 4860 5832 5935 6480 7122 7290 9496 9720 10683 11664 11870 14244 14580 17805 18992 19440 21366 23740 28488 29160 32049 35610 42732 47480 53415 56976 58320 64098 71220 85464 94960 96147 106830 128196 142440 160245 170928 192294 213660 256392 284880 288441 320490 384588 427320 480735 512784 576882 640980 769176 854640 865323 961470 1153764 1281960 1442205 1538352 1730646 1922940 2307528 2563920 2884410 3461292 3845880 4326615 4615056 5768820 6922584 7691760 8653230 11537640 13845168 17306460 23075280 34612920 69225840