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1142436960 = 2534573257
BaseRepresentation
bin100010000011000…
…0011010001100000
32221121200210220000
41010012003101200
54314430440320
6305210220000
740211361000
oct10406032140
92847623800
101142436960
1153696a885
1227a724600
131528bb802
14aba28000
156a469c90
hex44183460

1142436960 has 480 divisors, whose sum is σ = 4720161600. Its totient is φ = 260112384.

The previous prime is 1142436949. The next prime is 1142436961. The reversal of 1142436960 is 696342411.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×11424369603 (a number of 28 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142436961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4445152 + ... + 4445408.

It is an arithmetic number, because the mean of its divisors is an integer number (9833670).

Almost surely, 21142436960 is an apocalyptic number.

1142436960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142436960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360080800).

1142436960 is an abundant number, since it is smaller than the sum of its proper divisors (3577724640).

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

1142436960 is an equidigital number, since it uses as much as digits as its factorization.

1142436960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1142436960 is about 33799.9550295559. The cubic root of 1142436960 is about 1045.3877699826.

It can be divided in two parts, 11424 and 36960, that added together give a palindrome (48384).

The spelling of 1142436960 in words is "one billion, one hundred forty-two million, four hundred thirty-six thousand, nine hundred sixty".