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1022104240 = 245191494513
BaseRepresentation
bin111100111011000…
…001001010110000
32122020021021102121
4330323001022300
54043124313430
6245231124024
734220512513
oct7473011260
92566237377
101022104240
11484a51053
12246373614
131339a9311
1499a62d7a
155eaeaa7a
hex3cec12b0

1022104240 has 80 divisors (see below), whose sum is σ = 2518812000. Its totient is φ = 384638976.

The previous prime is 1022104231. The next prime is 1022104271. The reversal of 1022104240 is 424012201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224224 + ... + 228736.

It is an arithmetic number, because the mean of its divisors is an integer number (31485150).

Almost surely, 21022104240 is an apocalyptic number.

1022104240 is a gapful number since it is divisible by the number (10) 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 1022104240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259406000).

1022104240 is an abundant number, since it is smaller than the sum of its proper divisors (1496707760).

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

1022104240 is a wasteful number, since it uses less digits than its factorization.

1022104240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4694 (or 4688 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1022104240 is about 31970.3650276314. The cubic root of 1022104240 is about 1007.3144484008.

Adding to 1022104240 its reverse (424012201), we get a palindrome (1446116441).

The spelling of 1022104240 in words is "one billion, twenty-two million, one hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 149 152 190 298 304 380 596 745 760 1192 1490 1520 2384 2831 2980 4513 5662 5960 9026 11324 11920 14155 18052 22565 22648 28310 36104 45130 45296 56620 72208 85747 90260 113240 171494 180520 226480 342988 361040 428735 672437 685976 857470 1344874 1371952 1714940 2689748 3362185 3429880 5379496 6724370 6859760 10758992 12776303 13448740 25552606 26897480 51105212 53794960 63881515 102210424 127763030 204420848 255526060 511052120 1022104240