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1001420244 = 22321137411667
BaseRepresentation
bin111011101100000…
…111010111010100
32120210100102022200
4323230013113110
54022330421434
6243211524500
733546634356
oct7354072724
92523312280
101001420244
11474303940
1223b459730
1312c616776
1496ddb0d6
155cdb2199
hex3bb075d4

1001420244 has 144 divisors (see below), whose sum is σ = 2907043776. Its totient is φ = 287884800.

The previous prime is 1001420237. The next prime is 1001420263. The reversal of 1001420244 is 4420241001.

1001420244 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 420 + 244 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 599899 + ... + 601565.

It is an arithmetic number, because the mean of its divisors is an integer number (20187804).

Almost surely, 21001420244 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 1001420244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453521888).

1001420244 is an abundant number, since it is smaller than the sum of its proper divisors (1905623532).

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

1001420244 is a wasteful number, since it uses less digits than its factorization.

1001420244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1001420244 is about 31645.2246634465. The cubic root of 1001420244 is about 1000.4731907219.

Adding to 1001420244 its reverse (4420241001), we get a palindrome (5421661245).

The spelling of 1001420244 in words is "one billion, one million, four hundred twenty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 41 44 66 74 82 99 111 123 132 148 164 198 222 246 333 369 396 407 444 451 492 666 738 814 902 1221 1332 1353 1476 1517 1628 1667 1804 2442 2706 3034 3334 3663 4059 4551 4884 5001 5412 6068 6668 7326 8118 9102 10002 13653 14652 15003 16236 16687 18204 18337 20004 27306 30006 33374 36674 50061 54612 55011 60012 61679 66748 68347 73348 100122 110022 123358 136694 150183 165033 185037 200244 205041 220044 246716 273388 300366 330066 370074 410082 555111 600732 615123 660132 678469 740148 751817 820164 1110222 1230246 1356938 1503634 2035407 2220444 2255451 2460492 2528839 2713876 3007268 4070814 4510902 5057678 6106221 6766353 7586517 8141628 9021804 10115356 12212442 13532706 15173034 22759551 24424884 27065412 27817229 30346068 45519102 55634458 83451687 91038204 111268916 166903374 250355061 333806748 500710122 1001420244