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103140648 = 233313231597
BaseRepresentation
bin1100010010111…
…00110100101000
321012002002101000
412021130310220
5202401000043
614122355000
72361452412
oct611346450
9235062330
10103140648
1153247106
122a65ba60
13184a3190
14d9ab9b2
1590c52d3
hex625cd28

103140648 has 128 divisors (see below), whose sum is σ = 322156800. Its totient is φ = 30336768.

The previous prime is 103140643. The next prime is 103140659. The reversal of 103140648 is 846041301.

103140648 is a `hidden beast` number, since 1 + 0 + 3 + 14 + 0 + 648 = 666.

It is a super-3 number, since 3×1031406483 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (103140643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63786 + ... + 65382.

It is an arithmetic number, because the mean of its divisors is an integer number (2516850).

Almost surely, 2103140648 is an apocalyptic number.

103140648 is a gapful number since it is divisible by the number (18) 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 103140648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161078400).

103140648 is an abundant number, since it is smaller than the sum of its proper divisors (219016152).

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

103140648 is a wasteful number, since it uses less digits than its factorization.

103140648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 103140648 is about 10155.8184308307. The cubic root of 103140648 is about 468.9680815639.

Adding to 103140648 its reverse (846041301), we get a palindrome (949181949).

The spelling of 103140648 in words is "one hundred three million, one hundred forty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 23 24 26 27 36 39 46 52 54 69 72 78 92 104 108 117 138 156 184 207 216 234 276 299 312 351 414 468 552 598 621 702 828 897 936 1196 1242 1404 1597 1656 1794 2392 2484 2691 2808 3194 3588 4791 4968 5382 6388 7176 8073 9582 10764 12776 14373 16146 19164 20761 21528 28746 32292 36731 38328 41522 43119 57492 62283 64584 73462 83044 86238 110193 114984 124566 146924 166088 172476 186849 220386 249132 293848 330579 344952 373698 440772 477503 498264 560547 661158 747396 881544 955006 991737 1121094 1322316 1432509 1494792 1910012 1983474 2242188 2644632 2865018 3820024 3966948 4297527 4484376 5730036 7933896 8595054 11460072 12892581 17190108 25785162 34380216 51570324 103140648