Search a number
-
+
1421736192 = 28331031997
BaseRepresentation
bin101010010111101…
…1111100100000000
310200002020200102000
41110233133210000
510402431024232
6353024424000
750142362322
oct12457374400
93602220360
101421736192
1166a595498
12338178000
1319871c226
14d6b6d612
1584c3a27c
hex54bdf900

1421736192 has 144 divisors (see below), whose sum is σ = 4247268480. Its totient is φ = 469075968.

The previous prime is 1421736179. The next prime is 1421736227. The reversal of 1421736192 is 2916371241.

1421736192 is a `hidden beast` number, since 14 + 21 + 7 + 3 + 619 + 2 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 710938 + ... + 712934.

It is an arithmetic number, because the mean of its divisors is an integer number (29494920).

Almost surely, 21421736192 is an apocalyptic number.

1421736192 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 1421736192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123634240).

1421736192 is an abundant number, since it is smaller than the sum of its proper divisors (2825532288).

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

1421736192 is a wasteful number, since it uses less digits than its factorization.

1421736192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2105 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 1421736192 is about 37705.9172014155. The cubic root of 1421736192 is about 1124.4487681716.

The spelling of 1421736192 in words is "one billion, four hundred twenty-one million, seven hundred thirty-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 103 108 128 144 192 206 216 256 288 309 384 412 432 576 618 768 824 864 927 1152 1236 1648 1728 1854 1997 2304 2472 2781 3296 3456 3708 3994 4944 5562 5991 6592 6912 7416 7988 9888 11124 11982 13184 14832 15976 17973 19776 22248 23964 26368 29664 31952 35946 39552 44496 47928 53919 59328 63904 71892 79104 88992 95856 107838 118656 127808 143784 177984 191712 205691 215676 237312 255616 287568 355968 383424 411382 431352 511232 575136 617073 711936 766848 822764 862704 1150272 1234146 1533696 1645528 1725408 1851219 2300544 2468292 3291056 3450816 3702438 4601088 4936584 5553657 6582112 6901632 7404876 9873168 11107314 13164224 13803264 14809752 19746336 22214628 26328448 29619504 39492672 44429256 52656896 59239008 78985344 88858512 118478016 157970688 177717024 236956032 355434048 473912064 710868096 1421736192