Search a number
-
+
5667060720 = 243547836053
BaseRepresentation
bin1010100011100100…
…00111101111110000
3112121221120111211210
411101302013233300
543101231420340
62334200440120
7260302135626
oct52162075760
915557514753
105667060720
1124489a9662
121121a79040
136c4107189
143ba903516
152327be180
hex151c87bf0

5667060720 has 160 divisors (see below), whose sum is σ = 18160837632. Its totient is φ = 1461001216.

The previous prime is 5667060709. The next prime is 5667060727. The reversal of 5667060720 is 270607665.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5667060727) by changing a digit.

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, 933214 + ... + 939266.

Almost surely, 25667060720 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 5667060720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9080418816).

5667060720 is an abundant number, since it is smaller than the sum of its proper divisors (12493776912).

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

5667060720 is a wasteful number, since it uses less digits than its factorization.

5667060720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6199 (or 6193 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 5667060720 is about 75279.8825716406. The cubic root of 5667060720 is about 1782.8684046878.

The spelling of 5667060720 in words is "five billion, six hundred sixty-seven million, sixty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 83 94 120 141 166 188 235 240 249 282 332 376 415 470 498 564 664 705 752 830 940 996 1128 1245 1328 1410 1660 1880 1992 2256 2490 2820 3320 3760 3901 3984 4980 5640 6053 6640 7802 9960 11280 11703 12106 15604 18159 19505 19920 23406 24212 30265 31208 36318 39010 46812 48424 58515 60530 62416 72636 78020 90795 93624 96848 117030 121060 145272 156040 181590 187248 234060 242120 284491 290544 312080 363180 468120 484240 502399 568982 726360 853473 936240 1004798 1137964 1422455 1452720 1507197 1706946 2009596 2275928 2511995 2844910 3014394 3413892 4019192 4267365 4551856 5023990 5689820 6028788 6827784 7535985 8038384 8534730 10047980 11379640 12057576 13655568 15071970 17069460 20095960 22759280 23612753 24115152 30143940 34138920 40191920 47225506 60287880 68277840 70838259 94451012 118063765 120575760 141676518 188902024 236127530 283353036 354191295 377804048 472255060 566706072 708382590 944510120 1133412144 1416765180 1889020240 2833530360 5667060720