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125434386 = 23371197311
BaseRepresentation
bin1110111100111…
…11101000010010
322202000201122000
413132133220102
5224102400021
620240254430
73052113630
oct736375022
9282021560
10125434386
1164893790
1236011416
131ccaa63c
1412932350
15b02ab26
hex779fa12

125434386 has 128 divisors (see below), whose sum is σ = 352235520. Its totient is φ = 32140800.

The previous prime is 125434369. The next prime is 125434391. The reversal of 125434386 is 683434521.

It is a self number, because there is not a number n which added to its sum of digits gives 125434386.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 403171 + ... + 403481.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 2125434386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125434386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176117760).

125434386 is an abundant number, since it is smaller than the sum of its proper divisors (226801134).

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

125434386 is a wasteful number, since it uses less digits than its factorization.

125434386 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 431 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 125434386 is about 11199.7493721958. The cubic root of 125434386 is about 500.5785117236.

The spelling of 125434386 in words is "one hundred twenty-five million, four hundred thirty-four thousand, three hundred eighty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 97 99 126 154 189 194 198 231 291 297 311 378 462 582 594 622 679 693 873 933 1067 1358 1386 1746 1866 2037 2079 2134 2177 2619 2799 3201 3421 4074 4158 4354 5238 5598 6111 6402 6531 6842 7469 8397 9603 10263 12222 13062 14938 16794 18333 19206 19593 20526 22407 23947 28809 30167 30789 36666 39186 44814 47894 57618 58779 60334 61578 67221 71841 90501 92367 117558 134442 143682 181002 184734 201663 211169 215523 271503 331837 403326 422338 431046 543006 633507 646569 663674 814509 995511 1267014 1293138 1629018 1900521 1991022 2322859 2986533 3801042 4645718 5701563 5973066 6968577 8959599 11403126 13937154 17919198 20905731 41811462 62717193 125434386