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1041427164 = 223195418443
BaseRepresentation
bin111110000100101…
…110101011011100
32200120121222111110
4332010232223130
54113101132124
6251201222020
734543661541
oct7604565334
92616558443
101041427164
11494949708
12250931910
131379b34bb
149c452bc8
1561666029
hex3e12eadc

1041427164 has 48 divisors (see below), whose sum is σ = 2562922880. Its totient is φ = 328224960.

The previous prime is 1041427159. The next prime is 1041427169. The reversal of 1041427164 is 4617241401.

It is an interprime number because it is at equal distance from previous prime (1041427159) and next prime (1041427169).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041427169) 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 15 ways as a sum of consecutive naturals, for example, 119127 + ... + 127569.

Almost surely, 21041427164 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 1041427164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281461440).

1041427164 is an abundant number, since it is smaller than the sum of its proper divisors (1521495716).

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

1041427164 is a wasteful number, since it uses less digits than its factorization.

1041427164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9010 (or 9008 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 1041427164 is about 32271.1506457393. The cubic root of 1041427164 is about 1013.6226357820.

Adding to 1041427164 its reverse (4617241401), we get a palindrome (5658668565).

The spelling of 1041427164 in words is "one billion, forty-one million, four hundred twenty-seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 541 1082 1623 2164 3246 6492 8443 10279 16886 20558 25329 30837 33772 41116 50658 61674 101316 123348 160417 320834 481251 641668 962502 1925004 4567663 9135326 13702989 18270652 27405978 54811956 86785597 173571194 260356791 347142388 520713582 1041427164