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2406178068 = 2237127283797
BaseRepresentation
bin1000111101101011…
…0101110100010100
320012200122111210020
42033122311310110
514411440144233
61034432425140
7113425114260
oct21732656424
96180574706
102406178068
111025252218
125719a81b0
132c466ca08
1418b7cb0a0
15e13969b3
hex8f6b5d14

2406178068 has 96 divisors (see below), whose sum is σ = 6497992704. Its totient is φ = 678803328.

The previous prime is 2406178063. The next prime is 2406178087. The reversal of 2406178068 is 8608716042.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2406178063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3018646 + ... + 3019442.

It is an arithmetic number, because the mean of its divisors is an integer number (67687424).

Almost surely, 22406178068 is an apocalyptic number.

2406178068 is a gapful number since it is divisible by the number (28) 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 2406178068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3248996352).

2406178068 is an abundant number, since it is smaller than the sum of its proper divisors (4091814636).

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

2406178068 is a wasteful number, since it uses less digits than its factorization.

2406178068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 2406178068 is about 49052.8089715564. The cubic root of 2406178068 is about 1340.0137497661.

The spelling of 2406178068 in words is "two billion, four hundred six million, one hundred seventy-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 127 254 283 381 508 566 762 797 849 889 1132 1524 1594 1698 1778 1981 2391 2667 3188 3396 3556 3962 4782 5334 5579 5943 7924 9564 10668 11158 11886 16737 22316 23772 33474 35941 66948 71882 101219 107823 143764 202438 215646 225551 251587 303657 404876 431292 451102 503174 607314 676653 708533 754761 902204 1006348 1214628 1353306 1417066 1509522 1578857 2125599 2706612 2834132 3019044 3157714 4251198 4736571 6315428 8502396 9473142 18946284 28644977 57289954 85934931 114579908 171869862 200514839 343739724 401029678 601544517 802059356 1203089034 2406178068