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103432120 = 23511317583
BaseRepresentation
bin1100010101000…
…11111110111000
321012121220012021
412022203332320
5202434311440
614132524224
72364105241
oct612437670
9235556167
10103432120
11534260a0
122a780674
1318575a4c
14da45cc8
15913184a
hex62a3fb8

103432120 has 64 divisors (see below), whose sum is σ = 262103040. Its totient is φ = 36393600.

The previous prime is 103432117. The next prime is 103432129. The reversal of 103432120 is 21234301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 103432094 and 103432103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103432129) 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, 9849 + ... + 17431.

It is an arithmetic number, because the mean of its divisors is an integer number (4095360).

Almost surely, 2103432120 is an apocalyptic number.

103432120 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 103432120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131051520).

103432120 is an abundant number, since it is smaller than the sum of its proper divisors (158670920).

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

103432120 is a wasteful number, since it uses less digits than its factorization.

103432120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7636 (or 7632 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 103432120 is about 10170.1583075191. The cubic root of 103432120 is about 469.4094287522.

Adding to 103432120 its reverse (21234301), we get a palindrome (124666421).

The spelling of 103432120 in words is "one hundred three million, four hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 1240 1364 1705 2728 3410 6820 7583 13640 15166 30332 37915 60664 75830 83413 151660 166826 235073 303320 333652 417065 470146 667304 834130 940292 1175365 1668260 1880584 2350730 2585803 3336520 4701460 5171606 9402920 10343212 12929015 20686424 25858030 51716060 103432120