Search a number
-
+
69896960 = 285729269
BaseRepresentation
bin1000010101010…
…00101100000000
311212112010121022
410022220230000
5120343200320
610534045012
71506054140
oct412505400
9155463538
1069896960
1136500691
121b4a9768
1311633963
1493d6920
15620a325
hex42a8b00

69896960 has 144 divisors (see below), whose sum is σ = 198676800. Its totient is φ = 23052288.

The previous prime is 69896927. The next prime is 69896963. The reversal of 69896960 is 6969896.

It is not an unprimeable number, because it can be changed into a prime (69896963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259706 + ... + 259974.

It is an arithmetic number, because the mean of its divisors is an integer number (1379700).

Almost surely, 269896960 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 69896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99338400).

69896960 is an abundant number, since it is smaller than the sum of its proper divisors (128779840).

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

69896960 is a wasteful number, since it uses less digits than its factorization.

69896960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 53.

The square root of 69896960 is about 8360.4401797991. The cubic root of 69896960 is about 411.9262129461.

The spelling of 69896960 in words is "sixty-nine million, eight hundred ninety-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 64 70 80 112 116 128 140 145 160 203 224 232 256 269 280 290 320 406 448 464 538 560 580 640 812 896 928 1015 1076 1120 1160 1280 1345 1624 1792 1856 1883 2030 2152 2240 2320 2690 3248 3712 3766 4060 4304 4480 4640 5380 6496 7424 7532 7801 8120 8608 8960 9280 9415 10760 12992 15064 15602 16240 17216 18560 18830 21520 25984 30128 31204 32480 34432 37120 37660 39005 43040 51968 54607 60256 62408 64960 68864 75320 78010 86080 109214 120512 124816 129920 150640 156020 172160 218428 241024 249632 259840 273035 301280 312040 344320 436856 482048 499264 546070 602560 624080 873712 998528 1092140 1205120 1248160 1747424 1997056 2184280 2410240 2496320 3494848 4368560 4992640 6989696 8737120 9985280 13979392 17474240 34948480 69896960