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7996140 = 22325311433
BaseRepresentation
bin11110100000001011101100
3120001020122100
4132200023230
54021334030
6443215100
7124652235
oct36401354
916036570
107996140
114571689
122817490
13186c759
1410c208c
15a7e360
hex7a02ec

7996140 has 72 divisors (see below), whose sum is σ = 25054848. Its totient is φ = 2062080.

The previous prime is 7996133. The next prime is 7996187. The reversal of 7996140 is 416997.

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

It is a junction number, because it is equal to n+sod(n) for n = 7996095 and 7996104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4864 + ... + 6296.

It is an arithmetic number, because the mean of its divisors is an integer number (347984).

Almost surely, 27996140 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 7996140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12527424).

7996140 is an abundant number, since it is smaller than the sum of its proper divisors (17058708).

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

7996140 is a wasteful number, since it uses less digits than its factorization.

7996140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 7996140 is about 2827.7446843730. The cubic root of 7996140 is about 199.9678281585.

The spelling of 7996140 in words is "seven million, nine hundred ninety-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1433 1860 2790 2866 4299 5580 5732 7165 8598 12897 14330 17196 21495 25794 28660 42990 44423 51588 64485 85980 88846 128970 133269 177692 222115 257940 266538 399807 444230 533076 666345 799614 888460 1332690 1599228 1999035 2665380 3998070 7996140