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2720742948 = 22327114911999
BaseRepresentation
bin1010001000101011…
…0011111000100100
321000121120001200100
42202022303320210
521033002233243
61125550544100
7124264635120
oct24212637044
97017501610
102720742948
1111768744a0
1263b208030
1334489a091
141bb4b2580
1510dcd10d3
hexa22b3e24

2720742948 has 144 divisors (see below), whose sum is σ = 8596224000. Its totient is φ = 704894400.

The previous prime is 2720742929. The next prime is 2720742953. The reversal of 2720742948 is 8492470272.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1360053 + ... + 1362051.

It is an arithmetic number, because the mean of its divisors is an integer number (59696000).

Almost surely, 22720742948 is an apocalyptic number.

2720742948 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 2720742948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4298112000).

2720742948 is an abundant number, since it is smaller than the sum of its proper divisors (5875481052).

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

2720742948 is a wasteful number, since it uses less digits than its factorization.

2720742948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2720742948 is about 52160.7414441168. The cubic root of 2720742948 is about 1396.0334916692.

The spelling of 2720742948 in words is "two billion, seven hundred twenty million, seven hundred forty-two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 491 693 924 982 1386 1473 1964 1999 2772 2946 3437 3998 4419 5401 5892 5997 6874 7996 8838 10311 10802 11994 13748 13993 16203 17676 17991 20622 21604 21989 23988 27986 30933 32406 35982 37807 41244 41979 43978 48609 55972 61866 64812 65967 71964 75614 83958 87956 97218 113421 123732 125937 131934 151228 153923 167916 194436 197901 226842 251874 263868 307846 340263 395802 453684 461769 503748 615692 680526 791604 923538 981509 1361052 1385307 1847076 1963018 2770614 2944527 3926036 5541228 5889054 6870563 8833581 10796599 11778108 13741126 17667162 20611689 21593198 27482252 32389797 35334324 41223378 43186396 61835067 64779594 75576193 82446756 97169391 123670134 129559188 151152386 194338782 226728579 247340268 302304772 388677564 453457158 680185737 906914316 1360371474 2720742948