Search a number
-
+
125668620 = 223257119067
BaseRepresentation
bin1110111110110…
…00110100001100
322202110121221100
413133120310030
5224132343440
620245303100
73054110550
oct737306414
9282417840
10125668620
1164a33770
1236104a90
132006013c
1412993860
15b075230
hex77d8d0c

125668620 has 144 divisors (see below), whose sum is σ = 475308288. Its totient is φ = 26110080.

The previous prime is 125668597. The next prime is 125668639. The reversal of 125668620 is 26866521.

125668620 is a `hidden beast` number, since 1 + 25 + 6 + 6 + 8 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9327 + ... + 18393.

It is an arithmetic number, because the mean of its divisors is an integer number (3300752).

Almost surely, 2125668620 is an apocalyptic number.

125668620 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 125668620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237654144).

125668620 is an abundant number, since it is smaller than the sum of its proper divisors (349639668).

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

125668620 is a wasteful number, since it uses less digits than its factorization.

125668620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9100 (or 9095 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 125668620 is about 11210.2016038963. The cubic root of 125668620 is about 500.8899085193.

The spelling of 125668620 in words is "one hundred twenty-five million, six hundred sixty-eight thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 9067 13860 18134 27201 36268 45335 54402 63469 81603 90670 99737 108804 126938 136005 163206 181340 190407 199474 253876 272010 299211 317345 326412 380814 398948 408015 498685 544020 571221 598422 634690 698159 761628 816030 897633 952035 997370 1142442 1196844 1269380 1396318 1496055 1632060 1795266 1904070 1994740 2094477 2284884 2792636 2856105 2992110 3490795 3590532 3808140 4188954 4488165 5712210 5984220 6283431 6981590 8377908 8976330 10472385 11424420 12566862 13963180 17952660 20944770 25133724 31417155 41889540 62834310 125668620