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145940256 = 25327116581
BaseRepresentation
bin10001011001011…
…01111100100000
3101011121112101200
420230231330200
5244330042011
622252001200
73421320540
oct1054557440
9334545350
10145940256
117541a090
1240a60200
132430a0a7
141554d320
15cc2b856
hex8b2df20

145940256 has 144 divisors (see below), whose sum is σ = 517503168. Its totient is φ = 37900800.

The previous prime is 145940239. The next prime is 145940269. The reversal of 145940256 is 652049541.

145940256 is a `hidden beast` number, since 14 + 594 + 0 + 2 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 145940256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18886 + ... + 25466.

It is an arithmetic number, because the mean of its divisors is an integer number (3593772).

Almost surely, 2145940256 is an apocalyptic number.

145940256 is a gapful number since it is divisible by the number (16) 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 145940256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258751584).

145940256 is an abundant number, since it is smaller than the sum of its proper divisors (371562912).

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

145940256 is a wasteful number, since it uses less digits than its factorization.

145940256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6615 (or 6604 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 145940256 is about 12080.5734963204. The cubic root of 145940256 is about 526.4919087617.

Adding to 145940256 its reverse (652049541), we get a palindrome (797989797).

The spelling of 145940256 in words is "one hundred forty-five million, nine hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 616 672 693 792 924 1008 1056 1232 1386 1584 1848 2016 2464 2772 3168 3696 5544 6581 7392 11088 13162 19743 22176 26324 39486 46067 52648 59229 72391 78972 92134 105296 118458 138201 144782 157944 184268 210592 217173 236916 276402 289564 315888 368536 414603 434346 473832 506737 552804 579128 631776 651519 737072 829206 868692 947664 1013474 1105608 1158256 1303038 1474144 1520211 1658412 1737384 1895328 2026948 2211216 2316512 2606076 3040422 3316824 3474768 4053896 4422432 4560633 5212152 6080844 6633648 6949536 8107792 9121266 10424304 12161688 13267296 16215584 18242532 20848608 24323376 36485064 48646752 72970128 145940256