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103142040 = 2335978861
BaseRepresentation
bin1100010010111…
…01001010011000
321012002011021120
412021131022120
5202401021130
614122405240
72361456441
oct611351230
9235064246
10103142040
1153248161
122a660820
13184a39c1
14d9ac2c8
1590c5910
hex625d298

103142040 has 64 divisors (see below), whose sum is σ = 312651360. Its totient is φ = 27217920.

The previous prime is 103142027. The next prime is 103142041. The reversal of 103142040 is 40241301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103142041) 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, 7210 + ... + 16070.

Almost surely, 2103142040 is an apocalyptic number.

103142040 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 103142040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156325680).

103142040 is an abundant number, since it is smaller than the sum of its proper divisors (209509320).

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

103142040 is a wasteful number, since it uses less digits than its factorization.

103142040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8972 (or 8968 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 103142040 is about 10155.8869627423. The cubic root of 103142040 is about 468.9701913064.

Adding to 103142040 its reverse (40241301), we get a palindrome (143383341).

It can be divided in two parts, 1031 and 42040, that added together give a triangular number (43071 = T293).

The spelling of 103142040 in words is "one hundred three million, one hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 194 291 388 485 582 776 970 1164 1455 1940 2328 2910 3880 5820 8861 11640 17722 26583 35444 44305 53166 70888 88610 106332 132915 177220 212664 265830 354440 531660 859517 1063320 1719034 2578551 3438068 4297585 5157102 6876136 8595170 10314204 12892755 17190340 20628408 25785510 34380680 51571020 103142040