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268906380 = 223537891361
BaseRepresentation
bin10000000001110…
…010111110001100
3200201222212012120
4100001302332030
51022320001010
642403332540
76443444421
oct2001627614
9621885176
10268906380
11128877386
1276081150
1343932102
14279dbd48
151891ae70
hex10072f8c

268906380 has 96 divisors (see below), whose sum is σ = 782550720. Its totient is φ = 68935680.

The previous prime is 268906333. The next prime is 268906397. The reversal of 268906380 is 83609862.

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, 196900 + ... + 198260.

It is an arithmetic number, because the mean of its divisors is an integer number (8151570).

Almost surely, 2268906380 is an apocalyptic number.

268906380 is a gapful number since it is divisible by the number (20) 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 268906380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391275360).

268906380 is an abundant number, since it is smaller than the sum of its proper divisors (513644340).

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

268906380 is a wasteful number, since it uses less digits than its factorization.

268906380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 268906380 is about 16398.3651624179. The cubic root of 268906380 is about 645.4565843533.

The spelling of 268906380 in words is "two hundred sixty-eight million, nine hundred six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 89 111 148 178 185 222 267 356 370 444 445 534 555 740 890 1068 1110 1335 1361 1780 2220 2670 2722 3293 4083 5340 5444 6586 6805 8166 9879 13172 13610 16332 16465 19758 20415 27220 32930 39516 40830 49395 50357 65860 81660 98790 100714 121129 151071 197580 201428 242258 251785 302142 363387 484516 503570 604284 605645 726774 755355 1007140 1211290 1453548 1510710 1816935 2422580 3021420 3633870 4481773 7267740 8963546 13445319 17927092 22408865 26890638 44817730 53781276 67226595 89635460 134453190 268906380