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103313440 = 2554115749
BaseRepresentation
bin1100010100001…
…11000000100000
321012101212101201
412022013000200
5202422012230
614130210544
72363102236
oct612070040
9235355351
10103313440
1153354a0a
122a723a54
1318533a19
14da14956
15910b5ca
hex6287020

103313440 has 48 divisors (see below), whose sum is σ = 250047000. Its totient is φ = 40314880.

The previous prime is 103313389. The next prime is 103313453. The reversal of 103313440 is 44313301.

It can be written as a sum of positive squares in 4 ways, for example, as 24245776 + 79067664 = 4924^2 + 8892^2 .

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, 1315 + ... + 14434.

Almost surely, 2103313440 is an apocalyptic number.

103313440 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 103313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125023500).

103313440 is an abundant number, since it is smaller than the sum of its proper divisors (146733560).

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

103313440 is a wasteful number, since it uses less digits than its factorization.

103313440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15805 (or 15797 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 103313440 is about 10164.3219154059. The cubic root of 103313440 is about 469.2298235774.

Adding to 103313440 its reverse (44313301), we get a palindrome (147626741).

The spelling of 103313440 in words is "one hundred three million, three hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 6560 15749 31498 62996 78745 125992 157490 251984 314980 503968 629960 645709 1259920 1291418 2519840 2582836 3228545 5165672 6457090 10331344 12914180 20662688 25828360 51656720 103313440