Search a number
-
+
1424760192 = 27341311049
BaseRepresentation
bin101010011101100…
…0001110110000000
310200021221022120000
41110323001312000
510404214311232
6353213320000
750210155542
oct12473016600
93607838500
101424760192
11671270469
12339196000
1319923a78b
14d7319692
158513627c
hex54ec1d80

1424760192 has 160 divisors (see below), whose sum is σ = 4276503000. Its totient is φ = 470845440.

The previous prime is 1424760173. The next prime is 1424760193. The reversal of 1424760192 is 2910674241.

It is a happy number.

1424760192 is a `hidden beast` number, since 1 + 4 + 2 + 47 + 601 + 9 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1424760193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1357684 + ... + 1358732.

Almost surely, 21424760192 is an apocalyptic number.

1424760192 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 1424760192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138251500).

1424760192 is an abundant number, since it is smaller than the sum of its proper divisors (2851742808).

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

1424760192 is a wasteful number, since it uses less digits than its factorization.

1424760192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1424760192 is about 37745.9957081543. The cubic root of 1424760192 is about 1125.2454291201.

The spelling of 1424760192 in words is "one billion, four hundred twenty-four million, seven hundred sixty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 131 144 162 192 216 262 288 324 384 393 432 524 576 648 786 864 1048 1049 1152 1179 1296 1572 1728 2096 2098 2358 2592 3144 3147 3456 3537 4192 4196 4716 5184 6288 6294 7074 8384 8392 9432 9441 10368 10611 12576 12588 14148 16768 16784 18864 18882 21222 25152 25176 28296 28323 33568 37728 37764 42444 50304 50352 56592 56646 67136 75456 75528 84888 84969 100704 113184 113292 134272 137419 150912 151056 169776 169938 201408 226368 226584 274838 302112 339552 339876 402816 412257 452736 453168 549676 604224 679104 679752 824514 906336 1099352 1208448 1236771 1358208 1359504 1649028 1812672 2198704 2473542 2719008 3298056 3625344 3710313 4397408 4947084 5438016 6596112 7420626 8794816 9894168 10876032 11130939 13192224 14841252 17589632 19788336 22261878 26384448 29682504 39576672 44523756 52768896 59365008 79153344 89047512 118730016 158306688 178095024 237460032 356190048 474920064 712380096 1424760192