Search a number
-
+
1421663832 = 2333149163271
BaseRepresentation
bin101010010111100…
…1101111001011000
310200002010000011000
41110233031321120
510402421220312
6353023105000
750141641341
oct12457157130
93602100130
101421663832
1166a546096
12338142160
131986c5304
14d6b510c8
1584c23adc
hex54bcde58

1421663832 has 128 divisors (see below), whose sum is σ = 4014720000. Its totient is φ = 466093440.

The previous prime is 1421663827. The next prime is 1421663861. The reversal of 1421663832 is 2383661241.

1421663832 is a `hidden beast` number, since 1 + 4 + 2 + 16 + 638 + 3 + 2 = 666.

It is a super-2 number, since 2×14216638322 = 4042256102433848448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5245857 + ... + 5246127.

It is an arithmetic number, because the mean of its divisors is an integer number (31365000).

Almost surely, 21421663832 is an apocalyptic number.

1421663832 is a gapful number since it is divisible by the number (12) 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 1421663832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007360000).

1421663832 is an abundant number, since it is smaller than the sum of its proper divisors (2593056168).

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

1421663832 is a wasteful number, since it uses less digits than its factorization.

1421663832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 588 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 1421663832 is about 37704.9576581118. The cubic root of 1421663832 is about 1124.4296913805.

The spelling of 1421663832 in words is "one billion, four hundred twenty-one million, six hundred sixty-three thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 149 163 216 271 298 326 447 489 542 596 652 813 894 978 1084 1192 1304 1341 1467 1626 1788 1956 2168 2439 2682 2934 3252 3576 3912 4023 4401 4878 5364 5868 6504 7317 8046 8802 9756 10728 11736 14634 16092 17604 19512 24287 29268 32184 35208 40379 44173 48574 58536 72861 80758 88346 97148 121137 132519 145722 161516 176692 194296 218583 242274 265038 291444 323032 353384 363411 397557 437166 484548 530076 582888 655749 726822 795114 874332 969096 1060152 1090233 1192671 1311498 1453644 1590228 1748664 2180466 2385342 2622996 2907288 3180456 4360932 4770684 5245992 6581777 8721864 9541368 13163554 19745331 26327108 39490662 52654216 59235993 78981324 118471986 157962648 177707979 236943972 355415958 473887944 710831916 1421663832