Search a number
-
+
272503374 = 231121322221
BaseRepresentation
bin10000001111100…
…001001001001110
3200222202121100120
4100033201021032
51024230101444
643012405410
76516145323
oct2017411116
9628677316
10272503374
1112a903900
1277316866
13445c1400
1428296b4a
1518dcbb19
hex103e124e

272503374 has 72 divisors (see below), whose sum is σ = 648975096. Its totient is φ = 76190400.

The previous prime is 272503337. The next prime is 272503391. The reversal of 272503374 is 473305272.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121584 + ... + 123804.

It is an arithmetic number, because the mean of its divisors is an integer number (9013543).

Almost surely, 2272503374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272503374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324487548).

272503374 is an abundant number, since it is smaller than the sum of its proper divisors (376471722).

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

272503374 is a wasteful number, since it uses less digits than its factorization.

272503374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 33.

The square root of 272503374 is about 16507.6762144161. The cubic root of 272503374 is about 648.3218042299.

The spelling of 272503374 in words is "two hundred seventy-two million, five hundred three thousand, three hundred seventy-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 121 143 169 242 286 338 363 429 507 726 858 1014 1573 1859 2221 3146 3718 4442 4719 5577 6663 9438 11154 13326 20449 24431 28873 40898 48862 57746 61347 73293 86619 122694 146586 173238 268741 317603 375349 537482 635206 750698 806223 952809 1126047 1612446 1905618 2252094 3493633 4128839 6987266 8257678 10480899 12386517 20961798 24773034 45417229 90834458 136251687 272503374