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1240245248 = 210111031069
BaseRepresentation
bin100100111101100…
…1010010000000000
310012102201222122012
41021323022100000
510020000321443
6323022432052
742506624234
oct11173122000
93172658565
101240245248
115870a4680
122a7432628
13169c45838
14baa085c4
1573d3a118
hex49eca400

1240245248 has 88 divisors (see below), whose sum is σ = 2733481920. Its totient is φ = 557752320.

The previous prime is 1240245211. The next prime is 1240245257. The reversal of 1240245248 is 8425420421.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1159658 + ... + 1160726.

Almost surely, 21240245248 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 1240245248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366740960).

1240245248 is an abundant number, since it is smaller than the sum of its proper divisors (1493236672).

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

1240245248 is a wasteful number, since it uses less digits than its factorization.

1240245248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 32.

The square root of 1240245248 is about 35217.1158387509. The cubic root of 1240245248 is about 1074.4078940130.

Adding to 1240245248 its reverse (8425420421), we get a palindrome (9665665669).

The spelling of 1240245248 in words is "one billion, two hundred forty million, two hundred forty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 103 128 176 206 256 352 412 512 704 824 1024 1069 1133 1408 1648 2138 2266 2816 3296 4276 4532 5632 6592 8552 9064 11264 11759 13184 17104 18128 23518 26368 34208 36256 47036 52736 68416 72512 94072 105472 110107 136832 145024 188144 220214 273664 290048 376288 440428 547328 580096 752576 880856 1094656 1160192 1211177 1505152 1761712 2422354 3010304 3523424 4844708 6020608 7046848 9689416 12041216 14093696 19378832 28187392 38757664 56374784 77515328 112749568 155030656 310061312 620122624 1240245248