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274057056 = 253271310457
BaseRepresentation
bin10000010101011…
…100011101100000
3201002200112121100
4100111130131200
51030124311211
643105554400
76535306110
oct2025343540
9632615540
10274057056
11130775139
1277945a00
1344a16650
142857d040
15190d7156
hex1055c760

274057056 has 144 divisors (see below), whose sum is σ = 959291424. Its totient is φ = 72271872.

The previous prime is 274057027. The next prime is 274057061. The reversal of 274057056 is 650750472.

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 274057056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20980 + ... + 31436.

It is an arithmetic number, because the mean of its divisors is an integer number (6661746).

Almost surely, 2274057056 is an apocalyptic number.

274057056 is a gapful number since it is divisible by the number (26) 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 274057056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479645712).

274057056 is an abundant number, since it is smaller than the sum of its proper divisors (685234368).

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

274057056 is a wasteful number, since it uses less digits than its factorization.

274057056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10493 (or 10482 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 274057056 is about 16554.6687070445. The cubic root of 274057056 is about 649.5516087048.

The spelling of 274057056 in words is "two hundred seventy-four million, fifty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3744 4368 6552 8736 10457 13104 20914 26208 31371 41828 62742 73199 83656 94113 125484 135941 146398 167312 188226 219597 250968 271882 292796 334624 376452 407823 439194 501936 543764 585592 658791 752904 815646 878388 951587 1003872 1087528 1171184 1223469 1317582 1505808 1631292 1756776 1903174 2175056 2342368 2446938 2635164 2854761 3011616 3262584 3513552 3806348 4350112 4893876 5270328 5709522 6525168 7027104 7612696 8564283 9787752 10540656 11419044 13050336 15225392 17128566 19575504 21081312 22838088 30450784 34257132 39151008 45676176 68514264 91352352 137028528 274057056