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256402530 = 233519151331
BaseRepresentation
bin11110100100001…
…10010001100010
3122212110121011000
433102012101202
51011114340110
641235332430
76232246146
oct1722062142
9585417130
10256402530
1112180701a
1271a51116
1341174997
14260a5226
151779b1c0
hexf486462

256402530 has 128 divisors (see below), whose sum is σ = 726681600. Its totient is φ = 64152000.

The previous prime is 256402529. The next prime is 256402567. The reversal of 256402530 is 35204652.

256402530 is a `hidden beast` number, since 256 + 402 + 5 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 256402494 and 256402503.

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, 774465 + ... + 774795.

It is an arithmetic number, because the mean of its divisors is an integer number (5677200).

Almost surely, 2256402530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256402530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363340800).

256402530 is an abundant number, since it is smaller than the sum of its proper divisors (470279070).

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

256402530 is a wasteful number, since it uses less digits than its factorization.

256402530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 256402530 is about 16012.5741216083. The cubic root of 256402530 is about 635.2930467938.

The spelling of 256402530 in words is "two hundred fifty-six million, four hundred two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 151 171 190 270 285 302 331 342 453 513 570 662 755 855 906 993 1026 1359 1510 1655 1710 1986 2265 2565 2718 2869 2979 3310 4077 4530 4965 5130 5738 5958 6289 6795 8154 8607 8937 9930 12578 13590 14345 14895 17214 17874 18867 20385 25821 28690 29790 31445 37734 40770 43035 44685 49981 51642 56601 62890 77463 86070 89370 94335 99962 113202 129105 149943 154926 169803 188670 249905 258210 283005 299886 339606 387315 449829 499810 566010 749715 774630 849015 899658 949639 1349487 1499430 1698030 1899278 2249145 2698974 2848917 4498290 4748195 5697834 6747435 8546751 9496390 13494870 14244585 17093502 25640253 28489170 42733755 51280506 85467510 128201265 256402530