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1424167740 = 2232537434973
BaseRepresentation
bin101010011100011…
…0001001100111100
310200020211012212100
41110320301030330
510404041331430
6353152505100
750202140352
oct12470611474
93606735770
101424167740
116709a6336
12338b4b190
13199090c08
14d72037d2
158506a960
hex54e3133c

1424167740 has 144 divisors (see below), whose sum is σ = 4540824288. Its totient is φ = 360847872.

The previous prime is 1424167733. The next prime is 1424167763. The reversal of 1424167740 is 477614241.

It is a happy number.

1424167740 is a `hidden beast` number, since 1 + 424 + 167 + 74 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1424167695 and 1424167704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283894 + ... + 288866.

It is an arithmetic number, because the mean of its divisors is an integer number (31533502).

Almost surely, 21424167740 is an apocalyptic number.

1424167740 is a gapful number since it is divisible by the number (10) 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 1424167740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270412144).

1424167740 is an abundant number, since it is smaller than the sum of its proper divisors (3116656548).

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

1424167740 is a wasteful number, since it uses less digits than its factorization.

1424167740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5068 (or 5063 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 1424167740 is about 37738.1470133339. The cubic root of 1424167740 is about 1125.0894388152.

The spelling of 1424167740 in words is "one billion, four hundred twenty-four million, one hundred sixty-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 43 45 60 74 86 90 111 129 148 172 180 185 215 222 258 333 370 387 430 444 516 555 645 666 740 774 860 1110 1290 1332 1548 1591 1665 1935 2220 2580 3182 3330 3870 4773 4973 6364 6660 7740 7955 9546 9946 14319 14919 15910 19092 19892 23865 24865 28638 29838 31820 44757 47730 49730 57276 59676 71595 74595 89514 95460 99460 143190 149190 179028 184001 213839 223785 286380 298380 368002 427678 447570 552003 641517 736004 855356 895140 920005 1069195 1104006 1283034 1656009 1840010 1924551 2138390 2208012 2566068 2760015 3207585 3312018 3680020 3849102 4276780 5520030 6415170 6624036 7698204 7912043 8280045 9622755 11040060 12830340 15824086 16560090 19245510 23736129 31648172 33120180 38491020 39560215 47472258 71208387 79120430 94944516 118680645 142416774 158240860 237361290 284833548 356041935 474722580 712083870 1424167740