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272290368 = 26371910663
BaseRepresentation
bin10000001110101…
…101001001000000
3200222100210011110
4100032231021000
51024201242433
643004043320
76514300320
oct2016551100
9628323143
10272290368
1112a778869
1277233540
134454847c
142823d280
1518d88963
hex103ad240

272290368 has 112 divisors (see below), whose sum is σ = 866769920. Its totient is φ = 73695744.

The previous prime is 272290351. The next prime is 272290379. The reversal of 272290368 is 863092272.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20205 + ... + 30867.

Almost surely, 2272290368 is an apocalyptic number.

272290368 is a gapful number since it is divisible by the number (28) 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 272290368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433384960).

272290368 is an abundant number, since it is smaller than the sum of its proper divisors (594479552).

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

272290368 is a wasteful number, since it uses less digits than its factorization.

272290368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10704 (or 10694 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 272290368 is about 16501.2232273853. The cubic root of 272290368 is about 648.1528369868.

The spelling of 272290368 in words is "two hundred seventy-two million, two hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 266 304 336 399 448 456 532 608 672 798 912 1064 1216 1344 1596 1824 2128 3192 3648 4256 6384 8512 10663 12768 21326 25536 31989 42652 63978 74641 85304 127956 149282 170608 202597 223923 255912 298564 341216 405194 447846 511824 597128 607791 682432 810388 895692 1023648 1194256 1215582 1418179 1620776 1791384 2047296 2388512 2431164 2836358 3241552 3582768 4254537 4777024 4862328 5672716 6483104 7165536 8509074 9724656 11345432 12966208 14331072 17018148 19449312 22690864 34036296 38898624 45381728 68072592 90763456 136145184 272290368