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11397144 = 23311231877
BaseRepresentation
bin101011011110…
…100000011000
3210110000221110
4223132200120
510404202034
61044140320
7165605553
oct53364030
923400843
1011397144
116484930
1239976a0
132490795
14172969a
151001de9
hexade818

11397144 has 64 divisors (see below), whose sum is σ = 32451840. Its totient is φ = 3301760.

The previous prime is 11397103. The next prime is 11397163. The reversal of 11397144 is 44179311.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5134 + ... + 7010.

It is an arithmetic number, because the mean of its divisors is an integer number (507060).

Almost surely, 211397144 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 11397144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16225920).

11397144 is an abundant number, since it is smaller than the sum of its proper divisors (21054696).

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

11397144 is a wasteful number, since it uses less digits than its factorization.

11397144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1916 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 11397144 is about 3375.9656396356. The cubic root of 11397144 is about 225.0429152708.

The spelling of 11397144 in words is "eleven million, three hundred ninety-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 1877 2024 3036 3754 5631 6072 7508 11262 15016 20647 22524 41294 43171 45048 61941 82588 86342 123882 129513 165176 172684 247764 259026 345368 474881 495528 518052 949762 1036104 1424643 1899524 2849286 3799048 5698572 11397144