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6990720 = 273511331
BaseRepresentation
bin11010101010101110000000
3111011011110120
4122222232000
53242200340
6405500240
7113264052
oct32525600
914134416
106990720
113a45260
122411680
1315a9c29
14cdd8d2
159314d0
hex6aab80

6990720 has 128 divisors (see below), whose sum is σ = 24382080. Its totient is φ = 1689600.

The previous prime is 6990703. The next prime is 6990721. The reversal of 6990720 is 270996.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×69907202 = 97740332236800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6990721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20955 + ... + 21285.

It is an arithmetic number, because the mean of its divisors is an integer number (190485).

Almost surely, 26990720 is an apocalyptic number.

6990720 is a gapful number since it is divisible by the number (60) 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 6990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12191040).

6990720 is an abundant number, since it is smaller than the sum of its proper divisors (17391360).

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

6990720 is a wasteful number, since it uses less digits than its factorization.

6990720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 6990720 is about 2643.9969742797. The cubic root of 6990720 is about 191.2085475541.

The spelling of 6990720 in words is "six million, nine hundred ninety thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 331 352 384 440 480 528 640 660 662 704 880 960 993 1056 1320 1324 1408 1655 1760 1920 1986 2112 2640 2648 3310 3520 3641 3972 4224 4965 5280 5296 6620 7040 7282 7944 9930 10560 10592 10923 13240 14564 15888 18205 19860 21120 21184 21846 26480 29128 31776 36410 39720 42368 43692 52960 54615 58256 63552 72820 79440 87384 105920 109230 116512 127104 145640 158880 174768 211840 218460 233024 291280 317760 349536 436920 466048 582560 635520 699072 873840 1165120 1398144 1747680 2330240 3495360 6990720