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1042095840 = 25355414013
BaseRepresentation
bin111110000111010…
…001111011100000
32200121212221202020
4332013101323200
54113234031330
6251223421440
734552445202
oct7607217340
92617787666
101042095840
11495266035
12250bb4880
13137b88976
149c588772
1561749210
hex3e1d1ee0

1042095840 has 96 divisors (see below), whose sum is σ = 3289489056. Its totient is φ = 277309440.

The previous prime is 1042095839. The next prime is 1042095851. The reversal of 1042095840 is 485902401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 257674 + ... + 261686.

It is an arithmetic number, because the mean of its divisors is an integer number (34265511).

Almost surely, 21042095840 is an apocalyptic number.

1042095840 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 1042095840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644744528).

1042095840 is an abundant number, since it is smaller than the sum of its proper divisors (2247393216).

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

1042095840 is a wasteful number, since it uses less digits than its factorization.

1042095840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4572 (or 4564 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 1042095840 is about 32281.5092583974. The cubic root of 1042095840 is about 1013.8395304887.

The spelling of 1042095840 in words is "one billion, forty-two million, ninety-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 541 1082 1623 2164 2705 3246 4013 4328 5410 6492 8026 8115 8656 10820 12039 12984 16052 16230 17312 20065 21640 24078 25968 32104 32460 40130 43280 48156 51936 60195 64208 64920 80260 86560 96312 120390 128416 129840 160520 192624 240780 259680 321040 385248 481560 642080 963120 1926240 2171033 4342066 6513099 8684132 10855165 13026198 17368264 21710330 26052396 32565495 34736528 43420660 52104792 65130990 69473056 86841320 104209584 130261980 173682640 208419168 260523960 347365280 521047920 1042095840