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125442460 = 2251113231907
BaseRepresentation
bin1110111101000…
…01100110011100
322202001010201001
413132201212130
5224103124320
620240400044
73052146313
oct736414634
9282033631
10125442460
1164899860
1236016024
131ccb1210
141293527a
15b02d20a
hex77a199c

125442460 has 96 divisors (see below), whose sum is σ = 323108352. Its totient is φ = 40254720.

The previous prime is 125442431. The next prime is 125442463. The reversal of 125442460 is 64244521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125442463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64827 + ... + 66733.

It is an arithmetic number, because the mean of its divisors is an integer number (3365712).

Almost surely, 2125442460 is an apocalyptic number.

125442460 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 125442460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161554176).

125442460 is an abundant number, since it is smaller than the sum of its proper divisors (197665892).

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

125442460 is a wasteful number, since it uses less digits than its factorization.

125442460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 125442460 is about 11200.1098208902. The cubic root of 125442460 is about 500.5892519581.

Adding to 125442460 its reverse (64244521), we get a palindrome (189686981).

The spelling of 125442460 in words is "one hundred twenty-five million, four hundred forty-two thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 13 20 22 23 26 44 46 52 55 65 92 110 115 130 143 220 230 253 260 286 299 460 506 572 598 715 1012 1196 1265 1430 1495 1907 2530 2860 2990 3289 3814 5060 5980 6578 7628 9535 13156 16445 19070 20977 24791 32890 38140 41954 43861 49582 65780 83908 87722 99164 104885 123955 175444 209770 219305 247910 272701 419540 438610 482471 495820 545402 570193 877220 964942 1090804 1140386 1363505 1929884 2280772 2412355 2727010 2850965 4824710 5454020 5701930 6272123 9649420 11403860 12544246 25088492 31360615 62721230 125442460