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1030040000 = 2654112341
BaseRepresentation
bin111101011001010…
…010100111000000
32122210012110020122
4331121102213000
54102142240000
6250113155412
734345124033
oct7531224700
92583173218
101030040000
11489481330
12248b5bb68
13135527432
149ab2b01a
1560667085
hex3d6529c0

1030040000 has 140 divisors (see below), whose sum is σ = 2787551448. Its totient is φ = 374400000.

The previous prime is 1030039991. The next prime is 1030040021. The reversal of 1030040000 is 400301.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1030040000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 438830 + ... + 441170.

Almost surely, 21030040000 is an apocalyptic number.

1030040000 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 1030040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393775724).

1030040000 is an abundant number, since it is smaller than the sum of its proper divisors (1757511448).

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

1030040000 is an equidigital number, since it uses as much as digits as its factorization.

1030040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 1030040000 is about 32094.2362426651. The cubic root of 1030040000 is about 1009.9147070410.

Adding to 1030040000 its reverse (400301), we get a palindrome (1030440301).

The spelling of 1030040000 in words is "one billion, thirty million, forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 800 880 1000 1100 1250 1375 1600 1760 2000 2200 2341 2500 2750 3520 4000 4400 4682 5000 5500 6875 8000 8800 9364 10000 11000 11705 13750 17600 18728 20000 22000 23410 25751 27500 37456 40000 44000 46820 51502 55000 58525 74912 88000 93640 103004 110000 117050 128755 149824 187280 206008 220000 234100 257510 292625 374560 412016 440000 468200 515020 585250 643775 749120 824032 936400 1030040 1170500 1287550 1463125 1648064 1872800 2060080 2341000 2575100 2926250 3218875 3745600 4120160 4682000 5150200 5852500 6437750 8240320 9364000 10300400 11705000 12875500 16094375 18728000 20600800 23410000 25751000 32188750 41201600 46820000 51502000 64377500 93640000 103004000 128755000 206008000 257510000 515020000 1030040000