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213081456 = 243747103131
BaseRepresentation
bin11001011001101…
…01110101110000
3112211221122210210
430230311311300
5414022101311
633051024120
75165106510
oct1454656560
9484848723
10213081456
11aa308285
125b43b040
13351b7603
1420429840
1513a903a6
hexcb35d70

213081456 has 160 divisors (see below), whose sum is σ = 653672448. Its totient is φ = 58556160.

The previous prime is 213081431. The next prime is 213081461. The reversal of 213081456 is 654180312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1626511 + ... + 1626641.

Almost surely, 2213081456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213081456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326836224).

213081456 is an abundant number, since it is smaller than the sum of its proper divisors (440590992).

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

213081456 is a wasteful number, since it uses less digits than its factorization.

213081456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 213081456 is about 14597.3098891542. The cubic root of 213081456 is about 597.2853810403.

The spelling of 213081456 in words is "two hundred thirteen million, eighty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 56 84 94 103 112 131 141 168 188 206 262 282 309 329 336 376 393 412 524 564 618 658 721 752 786 824 917 987 1048 1128 1236 1316 1442 1572 1648 1834 1974 2096 2163 2256 2472 2632 2751 2884 3144 3668 3948 4326 4841 4944 5264 5502 5768 6157 6288 7336 7896 8652 9682 11004 11536 12314 13493 14523 14672 15792 17304 18471 19364 22008 24628 26986 29046 33887 34608 36942 38728 40479 43099 44016 49256 53972 58092 67774 73884 77456 80958 86198 94451 98512 101661 107944 116184 129297 135548 147768 161916 172396 188902 203322 215888 232368 258594 271096 283353 295536 323832 344792 377804 406644 517188 542192 566706 634171 647664 689584 755608 813288 1034376 1133412 1268342 1511216 1626576 1902513 2068752 2266824 2536684 3805026 4439197 4533648 5073368 7610052 8878394 10146736 13317591 15220104 17756788 26635182 30440208 35513576 53270364 71027152 106540728 213081456