Search a number
-
+
1421678592 = 21132137563
BaseRepresentation
bin101010010111101…
…0001100000000000
310200002010202101200
41110233101200000
510402422203332
6353023301200
750142032355
oct12457214000
93602122350
101421678592
1166a556194
1233814a800
131986cbc49
14d6b5662c
1584c2817c
hex54bd1800

1421678592 has 144 divisors (see below), whose sum is σ = 4143386520. Its totient is φ = 469598208.

The previous prime is 1421678579. The next prime is 1421678597. The reversal of 1421678592 is 2958761241.

1421678592 is a `hidden beast` number, since 1 + 42 + 16 + 7 + 8 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×14216785922 = 4042340037902204928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1421678597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2524903 + ... + 2525465.

Almost surely, 21421678592 is an apocalyptic number.

1421678592 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 1421678592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071693260).

1421678592 is an abundant number, since it is smaller than the sum of its proper divisors (2721707928).

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

1421678592 is a wasteful number, since it uses less digits than its factorization.

1421678592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 705 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 1421678592 is about 37705.1533878328. The cubic root of 1421678592 is about 1124.4335827188.

The spelling of 1421678592 in words is "one billion, four hundred twenty-one million, six hundred seventy-eight thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 137 144 192 256 274 288 384 411 512 548 563 576 768 822 1024 1096 1126 1152 1233 1536 1644 1689 2048 2192 2252 2304 2466 3072 3288 3378 4384 4504 4608 4932 5067 6144 6576 6756 8768 9008 9216 9864 10134 13152 13512 17536 18016 18432 19728 20268 26304 27024 35072 36032 39456 40536 52608 54048 70144 72064 77131 78912 81072 105216 108096 140288 144128 154262 157824 162144 210432 216192 231393 280576 288256 308524 315648 324288 420864 432384 462786 576512 617048 631296 648576 694179 841728 864768 925572 1153024 1234096 1262592 1297152 1388358 1729536 1851144 2468192 2525184 2594304 2776716 3459072 3702288 4936384 5188608 5553432 7404576 9872768 10377216 11106864 14809152 19745536 22213728 29618304 39491072 44427456 59236608 78982144 88854912 118473216 157964288 177709824 236946432 355419648 473892864 710839296 1421678592