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78123071 = 1329474409
BaseRepresentation
bin1001010100000…
…01000000111111
312110000001201002
410222001000333
5124444414241
611430240515
71636015025
oct452010077
9173001632
1078123071
114010a024
12221b613b
1313253c90
14a538715
156cd289b
hex4a8103f

78123071 has 16 divisors (see below), whose sum is σ = 88905600. Its totient is φ = 68130048.

The previous prime is 78123061. The next prime is 78123077. The reversal of 78123071 is 17032187.

It is not a de Polignac number, because 78123071 - 210 = 78122047 is a prime.

It is a super-2 number, since 2×781230712 = 12206428444942082, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78123077) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15515 + ... + 19923.

It is an arithmetic number, because the mean of its divisors is an integer number (5556600).

Almost surely, 278123071 is an apocalyptic number.

78123071 is a deficient number, since it is larger than the sum of its proper divisors (10782529).

78123071 is a wasteful number, since it uses less digits than its factorization.

78123071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4498.

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 78123071 is about 8838.7256434398. The cubic root of 78123071 is about 427.4904681937.

The spelling of 78123071 in words is "seventy-eight million, one hundred twenty-three thousand, seventy-one".

Divisors: 1 13 29 47 377 611 1363 4409 17719 57317 127861 207223 1662193 2693899 6009467 78123071