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4007070405 = 345132113607
BaseRepresentation
bin1110111011010111…
…0000101011000101
3101100021000021020000
43232311300223011
531201302223110
61501341231513
7201204352002
oct35665605305
911307007200
104007070405
111776983338
12939b62599
134bb2289a0
142a02748a9
15186bc01c0
hexeed70ac5

4007070405 has 80 divisors (see below), whose sum is σ = 7774402944. Its totient is φ = 1962817920.

The previous prime is 4007070383. The next prime is 4007070409. The reversal of 4007070405 is 5040707004.

It is not a de Polignac number, because 4007070405 - 211 = 4007068357 is a prime.

It is a super-2 number, since 2×40070704052 = 32113226461253728050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4007070409) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1109112 + ... + 1112718.

Almost surely, 24007070405 is an apocalyptic number.

4007070405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4007070405 is a deficient number, since it is larger than the sum of its proper divisors (3767332539).

4007070405 is a wasteful number, since it uses less digits than its factorization.

4007070405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3848 (or 3839 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 4007070405 is about 63301.4249839607. The cubic root of 4007070405 is about 1588.3357987924.

Adding to 4007070405 its reverse (5040707004), we get a palindrome (9047777409).

The spelling of 4007070405 in words is "four billion, seven million, seventy thousand, four hundred five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 211 351 405 585 633 1053 1055 1755 1899 2743 3165 3607 5265 5697 8229 9495 10821 13715 17091 18035 24687 28485 32463 41145 46891 54105 74061 85455 97389 123435 140673 162315 222183 234455 292167 370305 422019 486945 703365 761077 1110915 1266057 1460835 2110095 2283231 3798171 3805385 6330285 6849693 9894001 11416155 18990855 20549079 29682003 34248465 49470005 61647237 89046009 102745395 148410015 267138027 308236185 445230045 801414081 1335690135 4007070405