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1392077142 = 23219101191211
BaseRepresentation
bin101001011111001…
…0110100101010110
310121000102211211200
41102332112211112
510322332432032
6350045013330
746332313641
oct12276264526
93530384750
101392077142
11654878185
1232a254246
131925364b1
14d2c4ca58
158232c47c
hex52f96956

1392077142 has 96 divisors (see below), whose sum is σ = 3238410240. Its totient is φ = 430920000.

The previous prime is 1392077131. The next prime is 1392077143. The reversal of 1392077142 is 2417702931.

It is a junction number, because it is equal to n+sod(n) for n = 1392077097 and 1392077106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1392077143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6597417 + ... + 6597627.

It is an arithmetic number, because the mean of its divisors is an integer number (33733440).

Almost surely, 21392077142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1392077142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619205120).

1392077142 is an abundant number, since it is smaller than the sum of its proper divisors (1846333098).

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

1392077142 is a wasteful number, since it uses less digits than its factorization.

1392077142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 1392077142 is about 37310.5500093472. The cubic root of 1392077142 is about 1116.5746597197.

The spelling of 1392077142 in words is "one billion, three hundred ninety-two million, seventy-seven thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 101 114 171 191 202 211 303 342 382 422 573 606 633 909 1146 1266 1719 1818 1899 1919 3438 3629 3798 3838 4009 5757 7258 8018 10887 11514 12027 17271 19291 21311 21774 24054 32661 34542 36081 38582 40301 42622 57873 63933 65322 72162 80602 115746 120903 127866 173619 191799 241806 347238 362709 366529 383598 404909 725418 733058 765719 809818 1099587 1214727 1531438 2199174 2297157 2429454 3298761 3644181 4070401 4594314 6597522 6891471 7288362 8140802 12211203 13782942 24422406 36633609 73267218 77337619 154675238 232012857 464025714 696038571 1392077142