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1042213040 = 245113732009
BaseRepresentation
bin111110000111101…
…110100010110000
32200122002220111222
4332013232202300
54113301304130
6251230124212
734553443661
oct7607564260
92618086458
101042213040
114953360a0
12251050668
13137bca10b
149c5b9368
156176dce5
hex3e1ee8b0

1042213040 has 80 divisors (see below), whose sum is σ = 2714960160. Its totient is φ = 368732160.

The previous prime is 1042213037. The next prime is 1042213057. The reversal of 1042213040 is 403122401.

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

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, 16556 + ... + 48564.

It is an arithmetic number, because the mean of its divisors is an integer number (33937002).

Almost surely, 21042213040 is an apocalyptic number.

1042213040 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 1042213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357480080).

1042213040 is an abundant number, since it is smaller than the sum of its proper divisors (1672747120).

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

1042213040 is a wasteful number, since it uses less digits than its factorization.

1042213040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32070 (or 32064 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1042213040 is about 32283.3244880387. The cubic root of 1042213040 is about 1013.8775364425.

Adding to 1042213040 its reverse (403122401), we get a palindrome (1445335441).

The spelling of 1042213040 in words is "one billion, forty-two million, two hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 37 40 44 55 74 80 88 110 148 176 185 220 296 370 407 440 592 740 814 880 1480 1628 2035 2960 3256 4070 6512 8140 16280 32009 32560 64018 128036 160045 256072 320090 352099 512144 640180 704198 1184333 1280360 1408396 1760495 2368666 2560720 2816792 3520990 4737332 5633584 5921665 7041980 9474664 11843330 13027663 14083960 18949328 23686660 26055326 28167920 47373320 52110652 65138315 94746640 104221304 130276630 208442608 260553260 521106520 1042213040