[go: up one dir, main page]

Search a number
-
+
30965256 = 23327267131
BaseRepresentation
bin111011000011…
…1111000001000
32011021012100100
41312013320020
530411342011
63023405400
7524125500
oct166077010
964235310
1030965256
111652a723
12a453860
13655244a
144180a00
152ab9d56
hex1d87e08

30965256 has 144 divisors (see below), whose sum is σ = 99768240. Its totient is φ = 8648640.

The previous prime is 30965251. The next prime is 30965281. The reversal of 30965256 is 65256903.

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 30965256.

It is not an unprimeable number, because it can be changed into a prime (30965251) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 236311 + ... + 236441.

It is an arithmetic number, because the mean of its divisors is an integer number (692835).

Almost surely, 230965256 is an apocalyptic number.

30965256 is a gapful number since it is divisible by the number (36) 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 30965256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49884120).

30965256 is an abundant number, since it is smaller than the sum of its proper divisors (68802984).

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

30965256 is a wasteful number, since it uses less digits than its factorization.

30965256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 30965256 is about 5564.6433848001. The cubic root of 30965256 is about 314.0206620885.

The spelling of 30965256 in words is "thirty million, nine hundred sixty-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 67 72 84 98 126 131 134 147 168 196 201 252 262 268 294 392 393 402 441 469 504 524 536 588 603 786 804 882 917 938 1048 1176 1179 1206 1407 1572 1608 1764 1834 1876 2358 2412 2751 2814 3144 3283 3528 3668 3752 4221 4716 4824 5502 5628 6419 6566 7336 8253 8442 8777 9432 9849 11004 11256 12838 13132 16506 16884 17554 19257 19698 22008 25676 26264 26331 29547 33012 33768 35108 38514 39396 51352 52662 57771 59094 61439 66024 70216 77028 78792 78993 105324 115542 118188 122878 154056 157986 184317 210648 231084 236376 245756 315972 368634 430073 462168 491512 552951 631944 737268 860146 1105902 1290219 1474536 1720292 2211804 2580438 3440584 3870657 4423608 5160876 7741314 10321752 15482628 30965256