Search a number
-
+
1421897598 = 2331143179311
BaseRepresentation
bin101010011000000…
…0110111101111110
310200002112212211000
41110300012331332
510403001210343
6353032111130
750143634022
oct12460067576
93602485730
101421897598
1166a695790
123382354a6
13198777834
14d6bb2382
1584c6ced3
hex54c06f7e

1421897598 has 128 divisors (see below), whose sum is σ = 3558297600. Its totient is φ = 417160800.

The previous prime is 1421897597. The next prime is 1421897639. The reversal of 1421897598 is 8957981241.

It is a happy number.

1421897598 is a `hidden beast` number, since 1 + 42 + 1 + 8 + 9 + 7 + 598 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1421897597) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4571863 + ... + 4572173.

It is an arithmetic number, because the mean of its divisors is an integer number (27799200).

Almost surely, 21421897598 is an apocalyptic number.

1421897598 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1421897598, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779148800).

1421897598 is an abundant number, since it is smaller than the sum of its proper divisors (2136400002).

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

1421897598 is a wasteful number, since it uses less digits than its factorization.

1421897598 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 549 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 54.

The square root of 1421897598 is about 37708.0574678675. The cubic root of 1421897598 is about 1124.4913184730.

The spelling of 1421897598 in words is "one billion, four hundred twenty-one million, eight hundred ninety-seven thousand, five hundred ninety-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 43 54 66 86 99 129 179 198 258 297 311 358 387 473 537 594 622 774 933 946 1074 1161 1419 1611 1866 1969 2322 2799 2838 3222 3421 3938 4257 4833 5598 5907 6842 7697 8397 8514 9666 10263 11814 12771 13373 15394 16794 17721 20526 23091 25542 26746 30789 35442 40119 46182 53163 55669 61578 69273 80238 84667 92367 106326 111338 120357 138546 147103 167007 169334 184734 207819 240714 254001 294206 334014 361071 415638 441309 501021 508002 612359 722142 762003 882618 1002042 1224718 1323927 1503063 1524006 1837077 2286009 2393767 2647854 3006126 3674154 3971781 4572018 4787534 5511231 7181301 7943562 11022462 14362602 16533693 21543903 26331437 33067386 43087806 52662874 64631709 78994311 129263418 157988622 236982933 473965866 710948799 1421897598