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1004120430 = 235233721063
BaseRepresentation
bin111011110110011…
…010100101101110
32120222102121021120
4323312122211232
54024023323210
6243345441410
733611611545
oct7366324556
92528377246
101004120430
114758885a5
12240340266
13130050801
149750115c
155d247270
hex3bd9a96e

1004120430 has 96 divisors (see below), whose sum is σ = 2586898944. Its totient is φ = 248966784.

The previous prime is 1004120363. The next prime is 1004120443. The reversal of 1004120430 is 340214001.

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 944079 + ... + 945141.

It is an arithmetic number, because the mean of its divisors is an integer number (26946864).

Almost surely, 21004120430 is an apocalyptic number.

1004120430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004120430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293449472).

1004120430 is an abundant number, since it is smaller than the sum of its proper divisors (1582778514).

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

1004120430 is a wasteful number, since it uses less digits than its factorization.

1004120430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1004120430 is about 31687.8593470749. The cubic root of 1004120430 is about 1001.3715945350.

Adding to 1004120430 its reverse (340214001), we get a palindrome (1344334431).

The spelling of 1004120430 in words is "one billion, four million, one hundred twenty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 37 46 69 74 111 115 138 185 222 230 345 370 555 690 851 1063 1110 1369 1702 2126 2553 2738 3189 4107 4255 5106 5315 6378 6845 8214 8510 10630 12765 13690 15945 20535 24449 25530 31487 31890 39331 41070 48898 62974 73347 78662 94461 117993 122245 146694 157435 188922 196655 235986 244490 314870 366735 393310 472305 589965 733470 904613 944610 1179930 1455247 1809226 2713839 2910494 4365741 4523065 5427678 7276235 8731482 9046130 13569195 14552470 21828705 27138390 33470681 43657410 66941362 100412043 167353405 200824086 334706810 502060215 1004120430