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1426368 = 263171923
BaseRepresentation
bin101011100001111000000
32200110121110
411130033000
5331120433
650323320
715060336
oct5341700
92613543
101426368
11894719
12589540
133ac308
14291b56
151d2963
hex15c3c0

1426368 has 112 divisors (see below), whose sum is σ = 4389120. Its totient is φ = 405504.

The previous prime is 1426367. The next prime is 1426379. The reversal of 1426368 is 8636241.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (6912) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1426361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62005 + ... + 62027.

21426368 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 1426368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194560).

1426368 is an abundant number, since it is smaller than the sum of its proper divisors (2962752).

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

1426368 is a wasteful number, since it uses less digits than its factorization.

1426368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 64 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 1426368 is about 1194.3064933257. The cubic root of 1426368 is about 112.5668540907.

The spelling of 1426368 in words is "one million, four hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 19 23 24 32 34 38 46 48 51 57 64 68 69 76 92 96 102 114 136 138 152 184 192 204 228 272 276 304 323 368 391 408 437 456 544 552 608 646 736 782 816 874 912 969 1088 1104 1173 1216 1292 1311 1472 1564 1632 1748 1824 1938 2208 2346 2584 2622 3128 3264 3496 3648 3876 4416 4692 5168 5244 6256 6992 7429 7752 9384 10336 10488 12512 13984 14858 15504 18768 20672 20976 22287 25024 27968 29716 31008 37536 41952 44574 59432 62016 75072 83904 89148 118864 178296 237728 356592 475456 713184 1426368