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11397408 = 2531143251
BaseRepresentation
bin101011011110…
…100100100000
3210110001022020
4223132210200
510404204113
61044141440
7165606411
oct53364440
923401266
1011397408
116485050
123997880
132490939
141729808
151002023
hexade920

11397408 has 96 divisors (see below), whose sum is σ = 33530112. Its totient is φ = 3360000.

The previous prime is 11397391. The next prime is 11397427. The reversal of 11397408 is 80479311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 45283 + ... + 45533.

It is an arithmetic number, because the mean of its divisors is an integer number (349272).

Almost surely, 211397408 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 11397408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16765056).

11397408 is an abundant number, since it is smaller than the sum of its proper divisors (22132704).

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

11397408 is a wasteful number, since it uses less digits than its factorization.

11397408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 11397408 is about 3376.0047393332. The cubic root of 11397408 is about 225.0446528661.

The spelling of 11397408 in words is "eleven million, three hundred ninety-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 66 86 88 96 129 132 172 176 251 258 264 344 352 473 502 516 528 688 753 946 1004 1032 1056 1376 1419 1506 1892 2008 2064 2761 2838 3012 3784 4016 4128 5522 5676 6024 7568 8032 8283 10793 11044 11352 12048 15136 16566 21586 22088 22704 24096 32379 33132 43172 44176 45408 64758 66264 86344 88352 118723 129516 132528 172688 237446 259032 265056 345376 356169 474892 518064 712338 949784 1036128 1424676 1899568 2849352 3799136 5698704 11397408