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1142469900 = 22335211213269
BaseRepresentation
bin100010000011000…
…1011010100001100
32221121202111002000
41010012023110030
54314433014100
6305211032300
740211556015
oct10406132414
92847674060
101142469900
11536992600
1227a73b690
131529007c0
14aba3600c
156a474900
hex4418b50c

1142469900 has 432 divisors, whose sum is σ = 4363783200. Its totient is φ = 254707200.

The previous prime is 1142469871. The next prime is 1142469907. The reversal of 1142469900 is 99642411.

It is a happy number.

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 (1142469907) 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 143 ways as a sum of consecutive naturals, for example, 4246966 + ... + 4247234.

It is an arithmetic number, because the mean of its divisors is an integer number (10101350).

Almost surely, 21142469900 is an apocalyptic number.

1142469900 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 1142469900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181891600).

1142469900 is an abundant number, since it is smaller than the sum of its proper divisors (3221313300).

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

1142469900 is a wasteful number, since it uses less digits than its factorization.

1142469900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1142469900 is about 33800.4423047983. The cubic root of 1142469900 is about 1045.3978171430.

The spelling of 1142469900 in words is "one billion, one hundred forty-two million, four hundred sixty-nine thousand, nine hundred".