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125434320 = 24351147513
BaseRepresentation
bin1110111100111…
…11100111010000
322202000201112120
413132133213100
5224102344240
620240254240
73052113504
oct736374720
9282021476
10125434320
1164893730
1236011380
131ccaa5bb
1412932304
15b02aad0
hex779f9d0

125434320 has 80 divisors (see below), whose sum is σ = 424204992. Its totient is φ = 30407680.

The previous prime is 125434307. The next prime is 125434321. The reversal of 125434320 is 23434521.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125434321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21117 + ... + 26396.

Almost surely, 2125434320 is an apocalyptic number.

125434320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125434320 is an abundant number, since it is smaller than the sum of its proper divisors (298770672).

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

125434320 is a wasteful number, since it uses less digits than its factorization.

125434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47540 (or 47534 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 125434320 is about 11199.7464257009. The cubic root of 125434320 is about 500.5784239268.

Adding to 125434320 its reverse (23434521), we get a palindrome (148868841).

The spelling of 125434320 in words is "one hundred twenty-five million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 47513 95026 142539 190052 237565 285078 380104 475130 522643 570156 712695 760208 950260 1045286 1140312 1425390 1567929 1900520 2090572 2280624 2613215 2850780 3135858 3801040 4181144 5226430 5701560 6271716 7839645 8362288 10452860 11403120 12543432 15679290 20905720 25086864 31358580 41811440 62717160 125434320