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1406496 = 253721323
BaseRepresentation
bin101010111011000100000
32122110100110
411113120200
5330001441
650051320
714645400
oct5273040
92573313
101406496
118807a3
12579b40
133a3260
14288800
151cbb16
hex157620

1406496 has 144 divisors (see below), whose sum is σ = 4826304. Its totient is φ = 354816.

The previous prime is 1406479. The next prime is 1406497. The reversal of 1406496 is 6946041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406497) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61141 + ... + 61163.

It is an arithmetic number, because the mean of its divisors is an integer number (33516).

21406496 is an apocalyptic number.

1406496 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 1406496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413152).

1406496 is an abundant number, since it is smaller than the sum of its proper divisors (3419808).

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

1406496 is a wasteful number, since it uses less digits than its factorization.

1406496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1406496 is about 1185.9578407347. The cubic root of 1406496 is about 112.0416511753.

The spelling of 1406496 in words is "one million, four hundred six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 23 24 26 28 32 39 42 46 48 49 52 56 69 78 84 91 92 96 98 104 112 138 147 156 161 168 182 184 196 208 224 273 276 294 299 312 322 336 364 368 392 416 483 546 552 588 598 624 637 644 672 728 736 784 897 966 1092 1104 1127 1176 1196 1248 1274 1288 1456 1568 1794 1911 1932 2093 2184 2208 2254 2352 2392 2548 2576 2912 3381 3588 3822 3864 4186 4368 4508 4704 4784 5096 5152 6279 6762 7176 7644 7728 8372 8736 9016 9568 10192 12558 13524 14352 14651 15288 15456 16744 18032 20384 25116 27048 28704 29302 30576 33488 36064 43953 50232 54096 58604 61152 66976 87906 100464 108192 117208 175812 200928 234416 351624 468832 703248 1406496