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1630858420 = 2254312291543
BaseRepresentation
bin110000100110100…
…1110110010110100
311012122202012011201
41201031032302310
511314444432140
6425454542244
755262032162
oct14115166264
94178665151
101630858420
11767639084
12396207984
131ccb4b6a9
14116848232
159829749a
hex6134ecb4

1630858420 has 48 divisors (see below), whose sum is σ = 3509573760. Its totient is φ = 636241536.

The previous prime is 1630858409. The next prime is 1630858421. The reversal of 1630858420 is 248580361.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1630858420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1630858421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1056169 + ... + 1057711.

It is an arithmetic number, because the mean of its divisors is an integer number (73116120).

Almost surely, 21630858420 is an apocalyptic number.

1630858420 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 1630858420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754786880).

1630858420 is an abundant number, since it is smaller than the sum of its proper divisors (1878715340).

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

1630858420 is a wasteful number, since it uses less digits than its factorization.

1630858420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 1630858420 is about 40383.8881238545. Note that the first 3 decimals coincide. The cubic root of 1630858420 is about 1177.0784808160.

The spelling of 1630858420 in words is "one billion, six hundred thirty million, eight hundred fifty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 1229 1543 2458 3086 4916 6145 6172 7715 12290 15430 24580 30860 52847 66349 105694 132698 211388 264235 265396 331745 528470 663490 1056940 1326980 1896347 3792694 7585388 9481735 18963470 37926940 81542921 163085842 326171684 407714605 815429210 1630858420