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1713904416 = 253274192029
BaseRepresentation
bin110011000101000…
…0001101100100000
311102110000100212100
41212022001230200
512002224420131
6442022530400
760320642610
oct14612015440
94373010770
101713904416
117aa4aa834
123b9b96a00
13214107333
141238a4a40
15a06ed7e6
hex66281b20

1713904416 has 144 divisors (see below), whose sum is σ = 5586235200. Its totient is φ = 488277504.

The previous prime is 1713904411. The next prime is 1713904469. The reversal of 1713904416 is 6144093171.

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 not an unprimeable number, because it can be changed into a prime (1713904411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 843690 + ... + 845718.

It is an arithmetic number, because the mean of its divisors is an integer number (38793300).

Almost surely, 21713904416 is an apocalyptic number.

1713904416 is a gapful number since it is divisible by the number (16) 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 1713904416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793117600).

1713904416 is an abundant number, since it is smaller than the sum of its proper divisors (3872330784).

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

1713904416 is a wasteful number, since it uses less digits than its factorization.

1713904416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471 (or 2460 counting only the distinct ones).

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

The square root of 1713904416 is about 41399.3286902095. The cubic root of 1713904416 is about 1196.7282209923.

Adding to 1713904416 its reverse (6144093171), we get a palindrome (7857997587).

The spelling of 1713904416 in words is "one billion, seven hundred thirteen million, nine hundred four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 419 504 672 838 1008 1257 1676 2016 2029 2514 2933 3352 3771 4058 5028 5866 6087 6704 7542 8116 8799 10056 11732 12174 13408 14203 15084 16232 17598 18261 20112 23464 24348 26397 28406 30168 32464 35196 36522 40224 42609 46928 48696 52794 56812 60336 64928 70392 73044 85218 93856 97392 105588 113624 120672 127827 140784 146088 170436 194784 211176 227248 255654 281568 292176 340872 422352 454496 511308 584352 681744 844704 850151 1022616 1363488 1700302 2045232 2550453 3400604 4090464 5100906 5951057 6801208 7651359 10201812 11902114 13602416 15302718 17853171 20403624 23804228 27204832 30605436 35706342 40807248 47608456 53559513 61210872 71412684 81614496 95216912 107119026 122421744 142825368 190433824 214238052 244843488 285650736 428476104 571301472 856952208 1713904416