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7076272 = 247234167
BaseRepresentation
bin11010111111100110110000
3111022111211011
4122333212300
53302420042
6411400304
7114101350
oct32774660
914274734
107076272
113aa3565
122453094
131609b58
14d22b60
1594ba17
hex6bf9b0

7076272 has 80 divisors (see below), whose sum is σ = 16998912. Its totient is φ = 2787840.

The previous prime is 7076263. The next prime is 7076281. The reversal of 7076272 is 2726707.

It is an interprime number because it is at equal distance from previous prime (7076263) and next prime (7076281).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105583 + ... + 105649.

Almost surely, 27076272 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 7076272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8499456).

7076272 is an abundant number, since it is smaller than the sum of its proper divisors (9922640).

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

7076272 is a wasteful number, since it uses less digits than its factorization.

7076272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 31.

The square root of 7076272 is about 2660.1263127904. The cubic root of 7076272 is about 191.9853866193.

The spelling of 7076272 in words is "seven million, seventy-six thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 23 28 41 46 56 67 82 92 112 134 161 164 184 268 287 322 328 368 469 536 574 644 656 938 943 1072 1148 1288 1541 1876 1886 2296 2576 2747 3082 3752 3772 4592 5494 6164 6601 7504 7544 10787 10988 12328 13202 15088 19229 21574 21976 24656 26404 38458 43148 43952 52808 63181 76916 86296 105616 126362 153832 172592 252724 307664 442267 505448 884534 1010896 1769068 3538136 7076272