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103887240 = 23353172731
BaseRepresentation
bin1100011000100…
…11000110001000
321020111000111120
412030103012020
5203043342430
614150355240
72401012152
oct614230610
9236430446
10103887240
1153707026
122a95bb20
13186a4c52
14db23ad2
1591c1610
hex6313188

103887240 has 64 divisors (see below), whose sum is σ = 312759360. Its totient is φ = 27605760.

The previous prime is 103887239. The next prime is 103887241. The reversal of 103887240 is 42788301.

It is an interprime number because it is at equal distance from previous prime (103887239) and next prime (103887241).

It is not an unprimeable number, because it can be changed into a prime (103887241) 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, 36675 + ... + 39405.

It is an arithmetic number, because the mean of its divisors is an integer number (4886865).

Almost surely, 2103887240 is an apocalyptic number.

103887240 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 103887240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156379680).

103887240 is an abundant number, since it is smaller than the sum of its proper divisors (208872120).

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

103887240 is a wasteful number, since it uses less digits than its factorization.

103887240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3062 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 103887240 is about 10192.5090139769. The cubic root of 103887240 is about 470.0969167876.

The spelling of 103887240 in words is "one hundred three million, eight hundred eighty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 317 634 951 1268 1585 1902 2536 2731 3170 3804 4755 5462 6340 7608 8193 9510 10924 12680 13655 16386 19020 21848 27310 32772 38040 40965 54620 65544 81930 109240 163860 327720 865727 1731454 2597181 3462908 4328635 5194362 6925816 8657270 10388724 12985905 17314540 20777448 25971810 34629080 51943620 103887240