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1142257104 = 2432295232
BaseRepresentation
bin100010000010101…
…0111010111010000
32221121100200011200
41010011113113100
54314404211404
6305202311200
740210011432
oct10405272720
92847320150
101142257104
1153685773a
1227a658500
131528579a1
14ab9bc652
156a431839
hex441575d0

1142257104 has 90 divisors (see below), whose sum is σ = 3313300770. Its totient is φ = 366920064.

The previous prime is 1142257099. The next prime is 1142257157. The reversal of 1142257104 is 4017522411.

It can be written as a sum of positive squares in only one way, i.e., 984704400 + 157552704 = 31380^2 + 12552^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2183787 + ... + 2184309.

It is an arithmetic number, because the mean of its divisors is an integer number (36814453).

Almost surely, 21142257104 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 1142257104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656650385).

1142257104 is an abundant number, since it is smaller than the sum of its proper divisors (2171043666).

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

1142257104 is an equidigital number, since it uses as much as digits as its factorization.

1142257104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1142257104 is about 33797.2943295761. The cubic root of 1142257104 is about 1045.3329079823.

Adding to 1142257104 its reverse (4017522411), we get a palindrome (5159779515).

The spelling of 1142257104 in words is "one billion, one hundred forty-two million, two hundred fifty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 523 696 1044 1046 1392 1569 2088 2092 3138 4176 4184 4707 6276 8368 9414 12552 15167 18828 25104 30334 37656 45501 60668 75312 91002 121336 136503 182004 242672 273006 273529 364008 546012 547058 728016 820587 1092024 1094116 1641174 2184048 2188232 2461761 3282348 4376464 4923522 6564696 7932341 9847044 13129392 15864682 19694088 23797023 31729364 39388176 47594046 63458728 71391069 95188092 126917456 142782138 190376184 285564276 380752368 571128552 1142257104