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103101440 = 2105131549
BaseRepresentation
bin1100010010100…
…11010000000000
321012000002120212
412021103100000
5202343221230
614121453252
72361230201
oct611232000
9235002525
10103101440
115321a702
122a641228
131848b390
14d99b5a8
1590b8895
hex6253400

103101440 has 88 divisors (see below), whose sum is σ = 266519400. Its totient is φ = 38043648.

The previous prime is 103101437. The next prime is 103101491. The reversal of 103101440 is 44101301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 200704 + 102900736 = 448^2 + 10144^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65786 + ... + 67334.

Almost surely, 2103101440 is an apocalyptic number.

103101440 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 103101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133259700).

103101440 is an abundant number, since it is smaller than the sum of its proper divisors (163417960).

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

103101440 is a wasteful number, since it uses less digits than its factorization.

103101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 103101440 is about 10153.8879253220. The cubic root of 103101440 is about 468.9086493506.

Adding to 103101440 its reverse (44101301), we get a palindrome (147202741).

The spelling of 103101440 in words is "one hundred three million, one hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1024 1040 1280 1549 1664 2080 2560 3098 3328 4160 5120 6196 6656 7745 8320 12392 13312 15490 16640 20137 24784 30980 33280 40274 49568 61960 66560 80548 99136 100685 123920 161096 198272 201370 247840 322192 396544 402740 495680 644384 793088 805480 991360 1288768 1586176 1610960 1982720 2577536 3221920 3965440 5155072 6443840 7930880 10310144 12887680 20620288 25775360 51550720 103101440