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11400144 = 2437237131
BaseRepresentation
bin101011011111…
…001111010000
3210110012001120
4223133033100
510404301034
61044202240
7165620400
oct53371720
923405046
1011400144
116487108
123999380
132491c62
14172a800
151002c49
hexadf3d0

11400144 has 120 divisors (see below), whose sum is σ = 35453088. Its totient is φ = 3144960.

The previous prime is 11400131. The next prime is 11400199. The reversal of 11400144 is 44100411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86959 + ... + 87089.

Almost surely, 211400144 is an apocalyptic number.

11400144 is a gapful number since it is divisible by the number (14) 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 11400144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17726544).

11400144 is an abundant number, since it is smaller than the sum of its proper divisors (24052944).

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

11400144 is a wasteful number, since it uses less digits than its factorization.

11400144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 11400144 is about 3376.4099277191. The cubic root of 11400144 is about 225.0626590920.

Adding to 11400144 its reverse (44100411), we get a palindrome (55500555).

The spelling of 11400144 in words is "eleven million, four hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 49 56 74 84 98 111 112 131 147 148 168 196 222 259 262 294 296 336 392 393 444 518 524 588 592 777 784 786 888 917 1036 1048 1176 1554 1572 1776 1813 1834 2072 2096 2352 2751 3108 3144 3626 3668 4144 4847 5439 5502 6216 6288 6419 7252 7336 9694 10878 11004 12432 12838 14504 14541 14672 19257 19388 21756 22008 25676 29008 29082 33929 38514 38776 43512 44016 51352 58164 67858 77028 77552 87024 101787 102704 116328 135716 154056 203574 232656 237503 271432 308112 407148 475006 542864 712509 814296 950012 1425018 1628592 1900024 2850036 3800048 5700072 11400144