Search a number
-
+
1398096 = 243271973
BaseRepresentation
bin101010101010101010000
32122000211100
411111111100
5324214341
645544400
714612040
oct5252520
92560740
101398096
11875457
12575100
1339c49b
14285720
151c93b6
hex155550

1398096 has 120 divisors (see below), whose sum is σ = 4771520. Its totient is φ = 373248.

The previous prime is 1398091. The next prime is 1398107. The reversal of 1398096 is 6908931.

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

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 1398096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1398091) 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, 19116 + ... + 19188.

21398096 is an apocalyptic number.

1398096 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 1398096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2385760).

1398096 is an abundant number, since it is smaller than the sum of its proper divisors (3373424).

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

1398096 is a wasteful number, since it uses less digits than its factorization.

1398096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1398096 is about 1182.4110960237. The cubic root of 1398096 is about 111.8181573017.

The spelling of 1398096 in words is "one million, three hundred ninety-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 73 76 84 112 114 126 133 144 146 152 168 171 219 228 252 266 292 304 336 342 399 438 456 504 511 532 584 657 684 798 876 912 1008 1022 1064 1168 1197 1314 1368 1387 1533 1596 1752 2044 2128 2394 2628 2736 2774 3066 3192 3504 4088 4161 4599 4788 5256 5548 6132 6384 8176 8322 9198 9576 9709 10512 11096 12264 12483 16644 18396 19152 19418 22192 24528 24966 29127 33288 36792 38836 49932 58254 66576 73584 77672 87381 99864 116508 155344 174762 199728 233016 349524 466032 699048 1398096