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7053984 = 253273499
BaseRepresentation
bin11010111010001010100000
3111021101020200
4122322022200
53301211414
6411105200
7113646360
oct32721240
914241220
107053984
113a88843
122442200
1315cc972
14d189a0
15945109
hex6ba2a0

7053984 has 72 divisors (see below), whose sum is σ = 22932000. Its totient is φ = 2014848.

The previous prime is 7053973. The next prime is 7054001. The reversal of 7053984 is 4893507.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267 + ... + 3765.

It is an arithmetic number, because the mean of its divisors is an integer number (318500).

Almost surely, 27053984 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 7053984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11466000).

7053984 is an abundant number, since it is smaller than the sum of its proper divisors (15878016).

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

7053984 is a wasteful number, since it uses less digits than its factorization.

7053984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3522 (or 3511 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 7053984 is about 2655.9337341131. The cubic root of 7053984 is about 191.7836103809.

The spelling of 7053984 in words is "seven million, fifty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 3499 6998 10497 13996 20994 24493 27992 31491 41988 48986 55984 62982 73479 83976 97972 111968 125964 146958 167952 195944 220437 251928 293916 335904 391888 440874 503856 587832 783776 881748 1007712 1175664 1763496 2351328 3526992 7053984