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1042350000 = 243556949
BaseRepresentation
bin111110001000001…
…111111110110000
32200122100212101120
4332020033332300
54113320200000
6251233102240
734554554166
oct7610177660
92618325346
101042350000
11495419a8a
122510b7980
13137c47563
149c613236
15617996a0
hex3e20ffb0

1042350000 has 120 divisors (see below), whose sum is σ = 3366190800. Its totient is φ = 277920000.

The previous prime is 1042349999. The next prime is 1042350031. The reversal of 1042350000 is 532401.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146526 + ... + 153474.

It is an arithmetic number, because the mean of its divisors is an integer number (28051590).

Almost surely, 21042350000 is an apocalyptic number.

1042350000 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 1042350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683095400).

1042350000 is an abundant number, since it is smaller than the sum of its proper divisors (2323840800).

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

1042350000 is an frugal number, since it uses more digits than its factorization.

1042350000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6985 (or 6959 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 1042350000 is about 32285.4456373147. The cubic root of 1042350000 is about 1013.9219466158.

Adding to 1042350000 its reverse (532401), we get a palindrome (1042882401).

The spelling of 1042350000 in words is "one billion, forty-two million, three hundred fifty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3125 3750 5000 6000 6250 6949 7500 9375 10000 12500 13898 15000 18750 20847 25000 27796 30000 34745 37500 41694 50000 55592 69490 75000 83388 104235 111184 138980 150000 166776 173725 208470 277960 333552 347450 416940 521175 555920 694900 833880 868625 1042350 1389800 1667760 1737250 2084700 2605875 2779600 3474500 4169400 4343125 5211750 6949000 8338800 8686250 10423500 13029375 13898000 17372500 20847000 21715625 26058750 34745000 41694000 43431250 52117500 65146875 69490000 86862500 104235000 130293750 173725000 208470000 260587500 347450000 521175000 1042350000