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1042520000 = 265467389
BaseRepresentation
bin111110001000111…
…001011111000000
32200122200111120212
4332020321133000
54113341120000
6251240453252
734556162624
oct7610713700
92618614525
101042520000
11495525785
1225117a228
13137ca6a52
149c659184
15617cec35
hex3e2397c0

1042520000 has 140 divisors (see below), whose sum is σ = 2630439240. Its totient is φ = 409728000.

The previous prime is 1042519979. The next prime is 1042520009. The reversal of 1042520000 is 252401.

1042520000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042520009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2679806 + ... + 2680194.

Almost surely, 21042520000 is an apocalyptic number.

1042520000 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 1042520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315219620).

1042520000 is an abundant number, since it is smaller than the sum of its proper divisors (1587919240).

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

1042520000 is an frugal number, since it uses more digits than its factorization.

1042520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 1042520000 is about 32288.0782952470. The cubic root of 1042520000 is about 1013.9770648138.

Adding to 1042520000 its reverse (252401), we get a palindrome (1042772401).

The spelling of 1042520000 in words is "one billion, forty-two million, five hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 67 80 100 125 134 160 200 250 268 320 335 389 400 500 536 625 670 778 800 1000 1072 1250 1340 1556 1600 1675 1945 2000 2144 2500 2680 3112 3350 3890 4000 4288 5000 5360 6224 6700 7780 8000 8375 9725 10000 10720 12448 13400 15560 16750 19450 20000 21440 24896 26063 26800 31120 33500 38900 40000 41875 48625 52126 53600 62240 67000 77800 83750 97250 104252 107200 124480 130315 134000 155600 167500 194500 208504 243125 260630 268000 311200 335000 389000 417008 486250 521260 536000 622400 651575 670000 778000 834016 972500 1042520 1303150 1340000 1556000 1668032 1945000 2085040 2606300 2680000 3112000 3257875 3890000 4170080 5212600 6515750 7780000 8340160 10425200 13031500 15560000 16289375 20850400 26063000 32578750 41700800 52126000 65157500 104252000 130315000 208504000 260630000 521260000 1042520000