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110141440 = 21352689
BaseRepresentation
bin1101001000010…
…10000000000000
321200020202122121
412210022000000
5211144011230
614532414024
72505121033
oct644120000
9250222577
10110141440
1157198992
1230a77314
1319a84866
14108b101a
159a0977a
hex690a000

110141440 has 56 divisors (see below), whose sum is σ = 264421620. Its totient is φ = 44040192.

The previous prime is 110141429. The next prime is 110141459. The reversal of 110141440 is 44141011.

It can be written as a sum of positive squares in 2 ways, for example, as 95883264 + 14258176 = 9792^2 + 3776^2 .

It is a super-2 number, since 2×1101414402 = 24262273610547200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39616 + ... + 42304.

Almost surely, 2110141440 is an apocalyptic number.

110141440 is a gapful number since it is divisible by the number (10) 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 110141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132210810).

110141440 is an abundant number, since it is smaller than the sum of its proper divisors (154280180).

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

110141440 is an frugal number, since it uses more digits than its factorization.

110141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 110141440 is about 10494.8292029933. The cubic root of 110141440 is about 479.3472609082.

Adding to 110141440 its reverse (44141011), we get a palindrome (154282451).

The spelling of 110141440 in words is "one hundred ten million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 2689 4096 5120 5378 8192 10240 10756 13445 20480 21512 26890 40960 43024 53780 86048 107560 172096 215120 344192 430240 688384 860480 1376768 1720960 2753536 3441920 5507072 6883840 11014144 13767680 22028288 27535360 55070720 110141440