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1630005420 = 2235317911093
BaseRepresentation
bin110000100100111…
…1110100010101100
311012121010212002010
41201021332202230
511314240133140
6425424401220
755251550251
oct14111764254
94177125063
101630005420
1176710621a
12395a76210
131cc910364
141166a5428
1598179880
hex6127e8ac

1630005420 has 96 divisors (see below), whose sum is σ = 4771307520. Its totient is φ = 415284480.

The previous prime is 1630005401. The next prime is 1630005431. The reversal of 1630005420 is 245000361.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141394 + ... + 152486.

It is an arithmetic number, because the mean of its divisors is an integer number (49701120).

Almost surely, 21630005420 is an apocalyptic number.

1630005420 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 1630005420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2385653760).

1630005420 is an abundant number, since it is smaller than the sum of its proper divisors (3141302100).

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

1630005420 is a wasteful number, since it uses less digits than its factorization.

1630005420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11215 (or 11213 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1630005420 is about 40373.3255999552. The cubic root of 1630005420 is about 1176.8732263247.

Adding to 1630005420 its reverse (245000361), we get a palindrome (1875005781).

The spelling of 1630005420 in words is "one billion, six hundred thirty million, five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 79 93 124 155 158 186 237 310 316 372 395 465 474 620 790 930 948 1185 1580 1860 2370 2449 4740 4898 7347 9796 11093 12245 14694 22186 24490 29388 33279 36735 44372 48980 55465 66558 73470 110930 133116 146940 166395 221860 332790 343883 665580 687766 876347 1031649 1375532 1719415 1752694 2063298 2629041 3438830 3505388 4126596 4381735 5158245 5258082 6877660 8763470 10316490 10516164 13145205 17526940 20632980 26290410 27166757 52580820 54333514 81500271 108667028 135833785 163000542 271667570 326001084 407501355 543335140 815002710 1630005420