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7068672 = 210321359
BaseRepresentation
bin11010111101110000000000
3111022010101200
4122331300000
53302144142
6411301200
7114040242
oct32756000
914263350
107068672
113a98886
12244a800
131606560
14d20092
1594964c
hex6bdc00

7068672 has 132 divisors (see below), whose sum is σ = 22353240. Its totient is φ = 2138112.

The previous prime is 7068667. The next prime is 7068673. The reversal of 7068672 is 2768607.

It is a super-2 number, since 2×70686722 = 99932247687168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7068673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119779 + ... + 119837.

Almost surely, 27068672 is an apocalyptic number.

7068672 is a gapful number since it is divisible by the number (72) 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 7068672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11176620).

7068672 is an abundant number, since it is smaller than the sum of its proper divisors (15284568).

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

7068672 is a wasteful number, since it uses less digits than its factorization.

7068672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 7068672 is about 2658.6974254322. The cubic root of 7068672 is about 191.9166304715.

Adding to 7068672 its product of nonzero digits (28224), we get a square (7096896 = 26642).

The spelling of 7068672 in words is "seven million, sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 59 64 72 78 96 104 117 118 128 144 156 177 192 208 234 236 256 288 312 354 384 416 468 472 512 531 576 624 708 767 768 832 936 944 1024 1062 1152 1248 1416 1534 1536 1664 1872 1888 2124 2301 2304 2496 2832 3068 3072 3328 3744 3776 4248 4602 4608 4992 5664 6136 6656 6903 7488 7552 8496 9204 9216 9984 11328 12272 13312 13806 14976 15104 16992 18408 19968 22656 24544 27612 29952 30208 33984 36816 39936 45312 49088 55224 59904 60416 67968 73632 90624 98176 110448 119808 135936 147264 181248 196352 220896 271872 294528 392704 441792 543744 589056 785408 883584 1178112 1767168 2356224 3534336 7068672