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125720364 = 223711359379
BaseRepresentation
bin1110111111001…
…01011100101100
322202120020220210
413133211130230
5224141022424
620250342420
73054414450
oct737453454
9282506823
10125720364
1164a69630
123612aa10
132007a863
14129a8660
15b085729
hex77e572c

125720364 has 96 divisors (see below), whose sum is σ = 367718400. Its totient is φ = 32477760.

The previous prime is 125720351. The next prime is 125720377. The reversal of 125720364 is 463027521.

It is an interprime number because it is at equal distance from previous prime (125720351) and next prime (125720377).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 331527 + ... + 331905.

It is an arithmetic number, because the mean of its divisors is an integer number (3830400).

Almost surely, 2125720364 is an apocalyptic number.

125720364 is a gapful number since it is divisible by the number (14) 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 125720364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183859200).

125720364 is an abundant number, since it is smaller than the sum of its proper divisors (241998036).

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

125720364 is a wasteful number, since it uses less digits than its factorization.

125720364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 125720364 is about 11212.5092642102. The cubic root of 125720364 is about 500.9586461538.

Adding to 125720364 its reverse (463027521), we get a palindrome (588747885).

The spelling of 125720364 in words is "one hundred twenty-five million, seven hundred twenty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 359 379 462 718 758 924 1077 1137 1436 1516 2154 2274 2513 2653 3949 4169 4308 4548 5026 5306 7539 7898 7959 8338 10052 10612 11847 12507 15078 15796 15918 16676 23694 25014 27643 29183 30156 31836 47388 50028 55286 58366 82929 87549 110572 116732 136061 165858 175098 272122 331716 350196 408183 544244 816366 952427 1496671 1632732 1904854 2857281 2993342 3809708 4490013 5714562 5986684 8980026 10476697 11429124 17960052 20953394 31430091 41906788 62860182 125720364