Search a number
-
+
69978240 = 2732512149
BaseRepresentation
bin1000010101111…
…00100010000000
311212200021002200
410022330202000
5120403300430
610535513200
71506543123
oct412744200
9155607080
1069978240
1136556762
121b528800
1311661957
1494183ba
156224460
hex42bc880

69978240 has 96 divisors (see below), whose sum is σ = 241663500. Its totient is φ = 18659328.

The previous prime is 69978203. The next prime is 69978269. The reversal of 69978240 is 4287996.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 65415744 + 4562496 = 8088^2 + 2136^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 315 + ... + 11834.

Almost surely, 269978240 is an apocalyptic number.

69978240 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 69978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120831750).

69978240 is an abundant number, since it is smaller than the sum of its proper divisors (171685260).

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

69978240 is a wasteful number, since it uses less digits than its factorization.

69978240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12174 (or 12159 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 69978240 is about 8365.2997555378. The cubic root of 69978240 is about 412.0858211893.

The spelling of 69978240 in words is "sixty-nine million, nine hundred seventy-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 12149 24298 36447 48596 60745 72894 97192 109341 121490 145788 182235 194384 218682 242980 291576 364470 388768 437364 485960 546705 583152 728940 777536 874728 971920 1093410 1166304 1457880 1555072 1749456 1943840 2186820 2332608 2915760 3498912 3887680 4373640 4665216 5831520 6997824 7775360 8747280 11663040 13995648 17494560 23326080 34989120 69978240