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1413183720 = 2335138111117
BaseRepresentation
bin101010000111011…
…0111100011101000
310122111011011121210
41110032313203220
510343233334340
6352121233120
750006602104
oct12416674350
93574134553
101413183720
11665783933
123353327a0
13196a164b0
14d5984904
15840eb180
hex543b78e8

1413183720 has 128 divisors (see below), whose sum is σ = 4575392640. Its totient is φ = 347120640.

The previous prime is 1413183719. The next prime is 1413183721. The reversal of 1413183720 is 273813141.

1413183720 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1413183719) and next prime (1413183721).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1413183721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1264602 + ... + 1265718.

It is an arithmetic number, because the mean of its divisors is an integer number (35745255).

Almost surely, 21413183720 is an apocalyptic number.

1413183720 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 1413183720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2287696320).

1413183720 is an abundant number, since it is smaller than the sum of its proper divisors (3162208920).

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

1413183720 is a wasteful number, since it uses less digits than its factorization.

1413183720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1413183720 is about 37592.3359210358. The cubic root of 1413183720 is about 1122.1895200018.

Adding to 1413183720 its reverse (273813141), we get a palindrome (1686996861).

The spelling of 1413183720 in words is "one billion, four hundred thirteen million, one hundred eighty-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 811 1117 1560 1622 2234 2433 3244 3351 4055 4468 4866 5585 6488 6702 8110 8936 9732 10543 11170 12165 13404 14521 16220 16755 19464 21086 22340 24330 26808 29042 31629 32440 33510 42172 43563 44680 48660 52715 58084 63258 67020 72605 84344 87126 97320 105430 116168 126516 134040 145210 158145 174252 210860 217815 253032 290420 316290 348504 421720 435630 580840 632580 871260 905887 1265160 1742520 1811774 2717661 3623548 4529435 5435322 7247096 9058870 10870644 11776531 13588305 18117740 21741288 23553062 27176610 35329593 36235480 47106124 54353220 58882655 70659186 94212248 108706440 117765310 141318372 176647965 235530620 282636744 353295930 471061240 706591860 1413183720