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1042122420 = 2232541141209
BaseRepresentation
bin111110000111011…
…000011010110100
32200121221022012200
4332013120122310
54113240404140
6251224144500
734552615533
oct7607303264
92617838180
101042122420
11495283aa9
12251008130
13137b97ab1
149c59431a
1561752030
hex3e1d86b4

1042122420 has 72 divisors (see below), whose sum is σ = 3238227720. Its totient is φ = 271119360.

The previous prime is 1042122391. The next prime is 1042122467. The reversal of 1042122420 is 242212401.

1042122420 is a `hidden beast` number, since 1 + 0 + 421 + 2 + 242 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14791716 + 1027330704 = 3846^2 + 32052^2 .

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 = 1042122393 and 1042122402.

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, 63225 + ... + 77984.

It is an arithmetic number, because the mean of its divisors is an integer number (44975385).

Almost surely, 21042122420 is an apocalyptic number.

1042122420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1042122420 is an abundant number, since it is smaller than the sum of its proper divisors (2196105300).

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

1042122420 is a wasteful number, since it uses less digits than its factorization.

1042122420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141265 (or 141260 counting only the distinct ones).

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

The square root of 1042122420 is about 32281.9209465608. The cubic root of 1042122420 is about 1013.8481501776.

Adding to 1042122420 its reverse (242212401), we get a palindrome (1284334821).

The spelling of 1042122420 in words is "one billion, forty-two million, one hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 141209 282418 423627 564836 706045 847254 1270881 1412090 1694508 2118135 2541762 2824180 4236270 5083524 5789569 6354405 8472540 11579138 12708810 17368707 23158276 25417620 28947845 34737414 52106121 57895690 69474828 86843535 104212242 115791380 173687070 208424484 260530605 347374140 521061210 1042122420