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103251140 = 225231931163
BaseRepresentation
bin1100010011101…
…11110011000100
321012021200221022
412021313303010
5202413014030
614125010312
72362422506
oct611676304
9235250838
10103251140
1153312123
122a6b3998
1318511565
14d9d9d76
1590e7de5
hex6277cc4

103251140 has 48 divisors (see below), whose sum is σ = 227622528. Its totient is φ = 39266304.

The previous prime is 103251133. The next prime is 103251143. The reversal of 103251140 is 41152301.

It is a super-2 number, since 2×1032511402 = 21321595822599200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103251143) 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, 88199 + ... + 89361.

It is an arithmetic number, because the mean of its divisors is an integer number (4742136).

Almost surely, 2103251140 is an apocalyptic number.

103251140 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 103251140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113811264).

103251140 is an abundant number, since it is smaller than the sum of its proper divisors (124371388).

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

103251140 is a wasteful number, since it uses less digits than its factorization.

103251140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 103251140 is about 10161.2568120287. The cubic root of 103251140 is about 469.1354863966.

The spelling of 103251140 in words is "one hundred three million, two hundred fifty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 193 230 386 460 772 965 1163 1930 2326 3860 4439 4652 5815 8878 11630 17756 22195 23260 26749 44390 53498 88780 106996 133745 224459 267490 448918 534980 897836 1122295 2244590 4489180 5162557 10325114 20650228 25812785 51625570 103251140