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125986368 = 2631315009
BaseRepresentation
bin1111000001001…
…10011001000000
322210001202210210
413200212121000
5224223030433
620300154120
73056603124
oct740463100
9283052723
10125986368
1165130472
1236238940
1320141961
1412a37584
15b0d9463
hex7826640

125986368 has 56 divisors (see below), whose sum is σ = 335950560. Its totient is φ = 41666560.

The previous prime is 125986361. The next prime is 125986373. The reversal of 125986368 is 863689521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (125986361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22648 + ... + 27656.

Almost surely, 2125986368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125986368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167975280).

125986368 is an abundant number, since it is smaller than the sum of its proper divisors (209964192).

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

125986368 is a wasteful number, since it uses less digits than its factorization.

125986368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5155 (or 5145 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 125986368 is about 11224.3649263555. The cubic root of 125986368 is about 501.3117131414.

The spelling of 125986368 in words is "one hundred twenty-five million, nine hundred eighty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 131 192 262 393 524 786 1048 1572 2096 3144 4192 5009 6288 8384 10018 12576 15027 20036 25152 30054 40072 60108 80144 120216 160288 240432 320576 480864 656179 961728 1312358 1968537 2624716 3937074 5249432 7874148 10498864 15748296 20997728 31496592 41995456 62993184 125986368