Search a number
-
+
125153520 = 2435643811
BaseRepresentation
bin1110111010110…
…11000011110000
322201111110100120
413131123003300
5224014403040
620230250240
73046534032
oct735330360
9281443316
10125153520
1164711768
1235ab6980
131cc0c84b
141289bc52
15aec27d0
hex775b0f0

125153520 has 80 divisors (see below), whose sum is σ = 389058432. Its totient is φ = 33281280.

The previous prime is 125153471. The next prime is 125153533. The reversal of 125153520 is 25351521.

It is a happy number.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153915 + ... + 154725.

Almost surely, 2125153520 is an apocalyptic number.

125153520 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 125153520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194529216).

125153520 is an abundant number, since it is smaller than the sum of its proper divisors (263904912).

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

125153520 is a wasteful number, since it uses less digits than its factorization.

125153520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 125153520 is about 11187.2034038896. The cubic root of 125153520 is about 500.2046095917.

The spelling of 125153520 in words is "one hundred twenty-five million, one hundred fifty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 643 811 1286 1622 1929 2433 2572 3215 3244 3858 4055 4866 5144 6430 6488 7716 8110 9645 9732 10288 12165 12860 12976 15432 16220 19290 19464 24330 25720 30864 32440 38580 38928 48660 51440 64880 77160 97320 154320 194640 521473 1042946 1564419 2085892 2607365 3128838 4171784 5214730 6257676 7822095 8343568 10429460 12515352 15644190 20858920 25030704 31288380 41717840 62576760 125153520