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103178140 = 22513419679
BaseRepresentation
bin1100010011001…
…01111110011100
321012010222210121
412021211332130
5202403200030
614123244324
72361666622
oct611457634
9235128717
10103178140
115327229a
122a6796a4
13184b7270
14d9bb512
1590d147a
hex6265f9c

103178140 has 48 divisors (see below), whose sum is σ = 239057280. Its totient is φ = 37163520.

The previous prime is 103178129. The next prime is 103178147. The reversal of 103178140 is 41871301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103178147) 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, 5821 + ... + 15499.

It is an arithmetic number, because the mean of its divisors is an integer number (4980360).

Almost surely, 2103178140 is an apocalyptic number.

103178140 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 103178140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119528640).

103178140 is an abundant number, since it is smaller than the sum of its proper divisors (135879140).

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

103178140 is a wasteful number, since it uses less digits than its factorization.

103178140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9742 (or 9740 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 103178140 is about 10157.6641015541. The cubic root of 103178140 is about 469.0248985468.

The spelling of 103178140 in words is "one hundred three million, one hundred seventy-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 410 533 820 1066 2132 2665 5330 9679 10660 19358 38716 48395 96790 125827 193580 251654 396839 503308 629135 793678 1258270 1587356 1984195 2516540 3968390 5158907 7936780 10317814 20635628 25794535 51589070 103178140