Search a number
-
+
487047120 = 24357674327
BaseRepresentation
bin11101000001111…
…011111111010000
31020221110120001020
4131001323333100
51444141001440
6120155035440
715032555310
oct3501737720
91227416036
10487047120
1122aa1a78a
1211713bb80
1379b9b481
1448983440
152cb5a3d0
hex1d07bfd0

487047120 has 160 divisors (see below), whose sum is σ = 1751697408. Its totient is φ = 109638144.

The previous prime is 487047109. The next prime is 487047131. The reversal of 487047120 is 21740784.

It is an interprime number because it is at equal distance from previous prime (487047109) and next prime (487047131).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110397 + ... + 114723.

Almost surely, 2487047120 is an apocalyptic number.

487047120 is a gapful number since it is divisible by the number (40) 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 487047120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875848704).

487047120 is an abundant number, since it is smaller than the sum of its proper divisors (1264650288).

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

487047120 is a wasteful number, since it uses less digits than its factorization.

487047120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4417 (or 4411 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 487047120 is about 22069.1440703984. The cubic root of 487047120 is about 786.7866697456.

The spelling of 487047120 in words is "four hundred eighty-seven million, forty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 67 70 80 84 105 112 120 134 140 168 201 210 240 268 280 335 336 402 420 469 536 560 670 804 840 938 1005 1072 1340 1407 1608 1680 1876 2010 2345 2680 2814 3216 3752 4020 4327 4690 5360 5628 7035 7504 8040 8654 9380 11256 12981 14070 16080 17308 18760 21635 22512 25962 28140 30289 34616 37520 43270 51924 56280 60578 64905 69232 86540 90867 103848 112560 121156 129810 151445 173080 181734 207696 242312 259620 289909 302890 346160 363468 454335 484624 519240 579818 605780 726936 869727 908670 1038480 1159636 1211560 1449545 1453872 1739454 1817340 2029363 2319272 2423120 2899090 3478908 3634680 4058726 4348635 4638544 5798180 6088089 6957816 7269360 8117452 8697270 10146815 11596360 12176178 13915632 16234904 17394540 20293630 23192720 24352356 30440445 32469808 34789080 40587260 48704712 60880890 69578160 81174520 97409424 121761780 162349040 243523560 487047120