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1142977920 = 27357212149
BaseRepresentation
bin100010000100000…
…0111010110000000
32221122201021221120
41010020013112000
54320100243140
6305225552240
740216103100
oct10410072600
92848637846
101142977920
115371aa257
1227a945680
13152a4aac6
14abb29200
156a5251d0
hex44207580

1142977920 has 192 divisors, whose sum is σ = 4238406000. Its totient is φ = 261230592.

The previous prime is 1142977879. The next prime is 1142977921. The reversal of 1142977920 is 297792411.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142977921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88006 + ... + 100154.

Almost surely, 21142977920 is an apocalyptic number.

1142977920 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 1142977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119203000).

1142977920 is an abundant number, since it is smaller than the sum of its proper divisors (3095428080).

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

1142977920 is a wasteful number, since it uses less digits than its factorization.

1142977920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12185 (or 12166 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 1142977920 is about 33807.9564599814. The cubic root of 1142977920 is about 1045.5527458928.

The spelling of 1142977920 in words is "one billion, one hundred forty-two million, nine hundred seventy-seven thousand, nine hundred twenty".