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103874140 = 22519214387
BaseRepresentation
bin1100011000011…
…11111001011100
321020110100112101
412030033321130
5203042433030
614150214444
72400626026
oct614177134
9236410471
10103874140
11536a81a7
122a954424
131869bcb6
14db1d016
1591bc7ca
hex630fe5c

103874140 has 36 divisors (see below), whose sum is σ = 230236776. Its totient is φ = 39360096.

The previous prime is 103874123. The next prime is 103874153. The reversal of 103874140 is 41478301.

It is a junction number, because it is equal to n+sod(n) for n = 103874099 and 103874108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27 + ... + 14413.

It is an arithmetic number, because the mean of its divisors is an integer number (6395466).

Almost surely, 2103874140 is an apocalyptic number.

103874140 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 103874140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115118388).

103874140 is an abundant number, since it is smaller than the sum of its proper divisors (126362636).

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

103874140 is a wasteful number, since it uses less digits than its factorization.

103874140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14434 (or 14413 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 103874140 is about 10191.8663649010. The cubic root of 103874140 is about 470.0771564896.

The spelling of 103874140 in words is "one hundred three million, eight hundred seventy-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1444 1805 3610 7220 14387 28774 57548 71935 143870 273353 287740 546706 1093412 1366765 2733530 5193707 5467060 10387414 20774828 25968535 51937070 103874140