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1042122024 = 2335661811
BaseRepresentation
bin111110000111011…
…000010100101000
32200121221021200000
4332013120110220
54113240401044
6251224143000
734552614426
oct7607302450
92617837600
101042122024
11495283779
12251007a60
13137b97868
149c594116
1561751d69
hex3e1d8528

1042122024 has 96 divisors (see below), whose sum is σ = 2934990240. Its totient is φ = 346420800.

The previous prime is 1042122017. The next prime is 1042122031. The reversal of 1042122024 is 4202212401.

1042122024 is a `hidden beast` number, since 1 + 0 + 421 + 220 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (1042122017) and next prime (1042122031).

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

It is a junction number, because it is equal to n+sod(n) for n = 1042121988 and 1042122006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1284579 + ... + 1285389.

It is an arithmetic number, because the mean of its divisors is an integer number (30572815).

Almost surely, 21042122024 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 1042122024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467495120).

1042122024 is an abundant number, since it is smaller than the sum of its proper divisors (1892868216).

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

1042122024 is an equidigital number, since it uses as much as digits as its factorization.

1042122024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1477 counting only the distinct ones).

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

The square root of 1042122024 is about 32281.9148130962. The cubic root of 1042122024 is about 1013.8480217589.

Adding to 1042122024 its reverse (4202212401), we get a palindrome (5244334425).

The spelling of 1042122024 in words is "one billion, forty-two million, one hundred twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 661 811 972 1322 1622 1944 1983 2433 2644 3244 3966 4866 5288 5949 6488 7299 7932 9732 11898 14598 15864 17847 19464 21897 23796 29196 35694 43794 47592 53541 58392 65691 71388 87588 107082 131382 142776 160623 175176 197073 214164 262764 321246 394146 428328 525528 536071 642492 788292 1072142 1284984 1576584 1608213 2144284 3216426 4288568 4824639 6432852 9649278 12865704 14473917 19298556 28947834 38597112 43421751 57895668 86843502 115791336 130265253 173687004 260530506 347374008 521061012 1042122024