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1042954240 = 2115179569
BaseRepresentation
bin111110001010100…
…011100000000000
32200200111120020211
4332022203200000
54113444013430
6251254043504
734562651626
oct7612434000
92620446224
101042954240
114957a1a59
12251349594
131380c95b3
149c72d516
156186872a
hex3e2a3800

1042954240 has 96 divisors (see below), whose sum is σ = 2520882000. Its totient is φ = 414121984.

The previous prime is 1042954229. The next prime is 1042954259. The reversal of 1042954240 is 424592401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1832676 + ... + 1833244.

Almost surely, 21042954240 is an apocalyptic number.

1042954240 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 1042954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260441000).

1042954240 is an abundant number, since it is smaller than the sum of its proper divisors (1477927760).

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

1042954240 is an equidigital number, since it uses as much as digits as its factorization.

1042954240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 1042954240 is about 32294.8020585357. The cubic root of 1042954240 is about 1014.1178289497.

The spelling of 1042954240 in words is "one billion, forty-two million, nine hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 179 256 320 358 512 569 640 716 895 1024 1138 1280 1432 1790 2048 2276 2560 2845 2864 3580 4552 5120 5690 5728 7160 9104 10240 11380 11456 14320 18208 22760 22912 28640 36416 45520 45824 57280 72832 91040 91648 101851 114560 145664 182080 183296 203702 229120 291328 364160 366592 407404 458240 509255 582656 728320 814808 916480 1018510 1165312 1456640 1629616 1832960 2037020 2913280 3259232 4074040 5826560 6518464 8148080 13036928 16296160 26073856 32592320 52147712 65184640 104295424 130369280 208590848 260738560 521477120 1042954240