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514012272 = 24317738629
BaseRepresentation
bin11110101000110…
…011010001110000
31022211012112021120
4132220303101300
52023041343042
6123001022240
715511014024
oct3650632160
91284175246
10514012272
11244168034
12124184980
138264cc97
144c3a2384
15301d4dec
hex1ea33470

514012272 has 80 divisors (see below), whose sum is σ = 1425399840. Its totient is φ = 159031296.

The previous prime is 514012259. The next prime is 514012297. The reversal of 514012272 is 272210415.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 55254 + ... + 63882.

It is an arithmetic number, because the mean of its divisors is an integer number (17817498).

Almost surely, 2514012272 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 514012272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712699920).

514012272 is an abundant number, since it is smaller than the sum of its proper divisors (911387568).

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

514012272 is a wasteful number, since it uses less digits than its factorization.

514012272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8730 (or 8724 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 514012272 is about 22671.8387432515. The cubic root of 514012272 is about 801.0466882906.

Adding to 514012272 its reverse (272210415), we get a palindrome (786222687).

The spelling of 514012272 in words is "five hundred fourteen million, twelve thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 73 102 136 146 204 219 272 292 408 438 584 816 876 1168 1241 1752 2482 3504 3723 4964 7446 8629 9928 14892 17258 19856 25887 29784 34516 51774 59568 69032 103548 138064 146693 207096 293386 414192 440079 586772 629917 880158 1173544 1259834 1760316 1889751 2347088 2519668 3520632 3779502 5039336 7041264 7559004 10078672 10708589 15118008 21417178 30236016 32125767 42834356 64251534 85668712 128503068 171337424 257006136 514012272