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168415104 = 27311133067
BaseRepresentation
bin10100000100111…
…00111110000000
3102201220101002110
422002130332000
5321103240404
624413415320
74113335064
oct1202347600
9381811073
10168415104
118707a840
124849a540
1328b78b10
141851daa4
15ebbab89
hexa09cf80

168415104 has 128 divisors (see below), whose sum is σ = 525732480. Its totient is φ = 47093760.

The previous prime is 168415099. The next prime is 168415109. The reversal of 168415104 is 401514861.

It is an interprime number because it is at equal distance from previous prime (168415099) and next prime (168415109).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168415109) 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 15 ways as a sum of consecutive naturals, for example, 53379 + ... + 56445.

It is an arithmetic number, because the mean of its divisors is an integer number (4107285).

Almost surely, 2168415104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168415104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262866240).

168415104 is an abundant number, since it is smaller than the sum of its proper divisors (357317376).

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

168415104 is a wasteful number, since it uses less digits than its factorization.

168415104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3108 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 168415104 is about 12977.4845020135. The cubic root of 168415104 is about 552.2389219874.

Adding to 168415104 its reverse (401514861), we get a palindrome (569929965).

It can be divided in two parts, 16841 and 5104, that added together give a triangular number (21945 = T209).

The spelling of 168415104 in words is "one hundred sixty-eight million, four hundred fifteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 264 286 312 352 384 416 429 528 572 624 704 832 858 1056 1144 1248 1408 1664 1716 2112 2288 2496 3067 3432 4224 4576 4992 6134 6864 9152 9201 12268 13728 18304 18402 24536 27456 33737 36804 39871 49072 54912 67474 73608 79742 98144 101211 119613 134948 147216 159484 196288 202422 239226 269896 294432 318968 392576 404844 438581 478452 539792 588864 637936 809688 877162 956904 1079584 1177728 1275872 1315743 1619376 1754324 1913808 2159168 2551744 2631486 3238752 3508648 3827616 4318336 5103488 5262972 6477504 7017296 7655232 10525944 12955008 14034592 15310464 21051888 28069184 42103776 56138368 84207552 168415104