Search a number
-
+
69216240 = 24351943353
BaseRepresentation
bin1000010000000…
…10011111110000
311211020112211110
410020002133300
5120204404430
610511313320
71500220422
oct410023760
9154215743
1069216240
1136086205
121b21b840
1311455b72
14929a812
1561237b0
hex42027f0

69216240 has 160 divisors (see below), whose sum is σ = 231770880. Its totient is φ = 17031168.

The previous prime is 69216239. The next prime is 69216253. The reversal of 69216240 is 4261296.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 69216198 and 69216207.

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, 195904 + ... + 196256.

It is an arithmetic number, because the mean of its divisors is an integer number (1448568).

Almost surely, 269216240 is an apocalyptic number.

69216240 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 69216240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115885440).

69216240 is an abundant number, since it is smaller than the sum of its proper divisors (162554640).

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

69216240 is a wasteful number, since it uses less digits than its factorization.

69216240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 69216240 is about 8319.6297994562. The cubic root of 69216240 is about 410.5846111894.

The spelling of 69216240 in words is "sixty-nine million, two hundred sixteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 43 48 57 60 76 80 86 95 114 120 129 152 172 190 215 228 240 258 285 304 344 353 380 430 456 516 570 645 688 706 760 817 860 912 1032 1059 1140 1290 1412 1520 1634 1720 1765 2064 2118 2280 2451 2580 2824 3268 3440 3530 4085 4236 4560 4902 5160 5295 5648 6536 6707 7060 8170 8472 9804 10320 10590 12255 13072 13414 14120 15179 16340 16944 19608 20121 21180 24510 26828 28240 30358 32680 33535 39216 40242 42360 45537 49020 53656 60716 65360 67070 75895 80484 84720 91074 98040 100605 107312 121432 134140 151790 160968 182148 196080 201210 227685 242864 268280 288401 303580 321936 364296 402420 455370 536560 576802 607160 728592 804840 865203 910740 1153604 1214320 1442005 1609680 1730406 1821480 2307208 2884010 3460812 3642960 4326015 4614416 5768020 6921624 8652030 11536040 13843248 17304060 23072080 34608120 69216240