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11407396 = 22721121337
BaseRepresentation
bin101011100001…
…000000100100
3210110120000011
4223201000210
510410014041
61044300004
7165650500
oct53410044
923416004
1011407396
116491600
1239a1604
132495350
14172d300
151004e81
hexae1024

11407396 has 108 divisors (see below), whose sum is σ = 28231644. Its totient is φ = 3991680.

The previous prime is 11407381. The next prime is 11407423. The reversal of 11407396 is 69370411.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6071296 + 5336100 = 2464^2 + 2310^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 308290 + ... + 308326.

Almost surely, 211407396 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 11407396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14115822).

11407396 is an abundant number, since it is smaller than the sum of its proper divisors (16824248).

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

11407396 is a wasteful number, since it uses less digits than its factorization.

11407396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 11407396 is about 3377.4836787170. The cubic root of 11407396 is about 225.1103721863.

The spelling of 11407396 in words is "eleven million, four hundred seven thousand, three hundred ninety-six".

Divisors: 1 2 4 7 11 13 14 22 26 28 37 44 49 52 74 77 91 98 121 143 148 154 182 196 242 259 286 308 364 407 481 484 518 539 572 637 814 847 962 1001 1036 1078 1274 1573 1628 1694 1813 1924 2002 2156 2548 2849 3146 3367 3388 3626 4004 4477 5291 5698 5929 6292 6734 7007 7252 8954 10582 11011 11396 11858 13468 14014 17908 19943 21164 22022 23569 23716 28028 31339 37037 39886 44044 47138 58201 62678 74074 77077 79772 94276 116402 125356 148148 154154 219373 232804 259259 308308 407407 438746 518518 814814 877492 1037036 1629628 2851849 5703698 11407396