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1145144 = 237112132
BaseRepresentation
bin100010111100100111000
32011011211202
410113210320
5243121034
640313332
712506420
oct4274470
92134752
101145144
11712400
12472848
13311300
1421b480
1517947e
hex117938

1145144 has 72 divisors (see below), whose sum is σ = 2920680. Its totient is φ = 411840.

The previous prime is 1145143. The next prime is 1145173. The reversal of 1145144 is 4415411.

It is a super-2 number, since 2×11451442 = 2622709561472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145141) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 88082 + ... + 88094.

It is an arithmetic number, because the mean of its divisors is an integer number (40565).

21145144 is an apocalyptic number.

1145144 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 1145144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460340).

1145144 is an abundant number, since it is smaller than the sum of its proper divisors (1775536).

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

1145144 is a wasteful number, since it uses less digits than its factorization.

1145144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 33 counting only the distinct ones).

The product of its digits is 320, while the sum is 20.

The square root of 1145144 is about 1070.1140126173. The cubic root of 1145144 is about 104.6212811644.

The spelling of 1145144 in words is "one million, one hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 121 143 154 169 182 242 286 308 338 364 484 572 616 676 728 847 968 1001 1144 1183 1352 1573 1694 1859 2002 2366 3146 3388 3718 4004 4732 6292 6776 7436 8008 9464 11011 12584 13013 14872 20449 22022 26026 40898 44044 52052 81796 88088 104104 143143 163592 286286 572572 1145144