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103575340 = 225113115187
BaseRepresentation
bin1100010110001…
…10111100101100
321012220011122201
412023012330230
5203003402330
614135551244
72365242631
oct613067454
9235804581
10103575340
1153513760
122a82b524
13185c5cab
14da82188
15915deca
hex62c6f2c

103575340 has 48 divisors (see below), whose sum is σ = 244952064. Its totient is φ = 36446400.

The previous prime is 103575331. The next prime is 103575343. The reversal of 103575340 is 43575301.

It is a super-3 number, since 3×1035753403 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 103575299 and 103575308.

It is not an unprimeable number, because it can be changed into a prime (103575343) 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, 774 + ... + 14413.

It is an arithmetic number, because the mean of its divisors is an integer number (5103168).

Almost surely, 2103575340 is an apocalyptic number.

103575340 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 103575340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122476032).

103575340 is an abundant number, since it is smaller than the sum of its proper divisors (141376724).

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

103575340 is a wasteful number, since it uses less digits than its factorization.

103575340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15238 (or 15236 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 103575340 is about 10177.1970600947. The cubic root of 103575340 is about 469.6259888568.

The spelling of 103575340 in words is "one hundred three million, five hundred seventy-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 3410 6820 15187 30374 60748 75935 151870 167057 303740 334114 470797 668228 835285 941594 1670570 1883188 2353985 3341140 4707970 5178767 9415940 10357534 20715068 25893835 51787670 103575340