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14069376 = 27342359
BaseRepresentation
bin110101101010…
…111010000000
3222110210120000
4311222322000
512100210001
61221320000
7230405406
oct65527200
928423500
1014069376
117a3a592
124866000
132bb7b99
141c23476
15137da86
hexd6ae80

14069376 has 160 divisors (see below), whose sum is σ = 44431200. Its totient is φ = 4409856.

The previous prime is 14069371. The next prime is 14069383. The reversal of 14069376 is 67396041.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14069376.

It is not an unprimeable number, because it can be changed into a prime (14069371) 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 19 ways as a sum of consecutive naturals, for example, 238435 + ... + 238493.

It is an arithmetic number, because the mean of its divisors is an integer number (277695).

Almost surely, 214069376 is an apocalyptic number.

14069376 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 14069376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22215600).

14069376 is an abundant number, since it is smaller than the sum of its proper divisors (30361824).

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

14069376 is an equidigital number, since it uses as much as digits as its factorization.

14069376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 14069376 is about 3750.9166879578. The cubic root of 14069376 is about 241.4116802153.

The spelling of 14069376 in words is "fourteen million, sixty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 59 64 69 72 81 92 96 108 118 128 138 144 162 177 184 192 207 216 236 276 288 324 354 368 384 414 432 472 531 552 576 621 648 708 736 828 864 944 1062 1104 1152 1242 1296 1357 1416 1472 1593 1656 1728 1863 1888 2124 2208 2484 2592 2714 2832 2944 3186 3312 3456 3726 3776 4071 4248 4416 4779 4968 5184 5428 5664 6372 6624 7452 7552 8142 8496 8832 9558 9936 10368 10856 11328 12213 12744 13248 14904 16284 16992 19116 19872 21712 22656 24426 25488 26496 29808 32568 33984 36639 38232 39744 43424 48852 50976 59616 65136 67968 73278 76464 79488 86848 97704 101952 109917 119232 130272 146556 152928 173696 195408 203904 219834 238464 260544 293112 305856 390816 439668 521088 586224 611712 781632 879336 1172448 1563264 1758672 2344896 3517344 4689792 7034688 14069376