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1107143424 = 2833315167
BaseRepresentation
bin100000111111101…
…1010101100000000
32212011021201021000
41001333122230000
54231412042144
6301505532000
736302364252
oct10177325400
92764251230
101107143424
11518a54272
1226a944000
131484b226a
14a707bcd2
15672e7769
hex41fdab00

1107143424 has 144 divisors (see below), whose sum is σ = 3380285440. Its totient is φ = 357073920.

The previous prime is 1107143423. The next prime is 1107143431. The reversal of 1107143424 is 4243417011.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×11071434242 = 2451533122612887552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1107143423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211689 + ... + 216855.

Almost surely, 21107143424 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 1107143424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690142720).

1107143424 is an abundant number, since it is smaller than the sum of its proper divisors (2273142016).

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

1107143424 is an equidigital number, since it uses as much as digits as its factorization.

1107143424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5223 (or 5203 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1107143424 is about 33273.7648005151. The cubic root of 1107143424 is about 1034.5098456245.

The spelling of 1107143424 in words is "one billion, one hundred seven million, one hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 256 279 288 372 384 432 496 558 576 744 768 837 864 992 1116 1152 1488 1674 1728 1984 2232 2304 2976 3348 3456 3968 4464 5167 5952 6696 6912 7936 8928 10334 11904 13392 15501 17856 20668 23808 26784 31002 35712 41336 46503 53568 62004 71424 82672 93006 107136 124008 139509 160177 165344 186012 214272 248016 279018 320354 330688 372024 480531 496032 558036 640708 661376 744048 961062 992064 1116072 1281416 1322752 1441593 1488096 1922124 1984128 2232144 2562832 2883186 2976192 3844248 3968256 4324779 4464288 5125664 5766372 5952384 7688496 8649558 8928576 10251328 11532744 11904768 15376992 17299116 17857152 20502656 23065488 30753984 34598232 35714304 41005312 46130976 61507968 69196464 92261952 123015936 138392928 184523904 276785856 369047808 553571712 1107143424