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1042029120 = 263511101977
BaseRepresentation
bin111110000111000…
…001101001000000
32200121202120020010
4332013001221000
54113224412440
6251222144520
734552046526
oct7607015100
92617676203
101042029120
1149521a9a0
12250b82140
13137b644a2
149c56c316
1561734580
hex3e1c1a40

1042029120 has 224 divisors, whose sum is σ = 3648675456. Its totient is φ = 249856000.

The previous prime is 1042029119. The next prime is 1042029139. The reversal of 1042029120 is 219202401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1066072 + ... + 1067048.

Almost surely, 21042029120 is an apocalyptic number.

1042029120 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 1042029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824337728).

1042029120 is an abundant number, since it is smaller than the sum of its proper divisors (2606646336).

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

1042029120 is a wasteful number, since it uses less digits than its factorization.

1042029120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1042029120 is about 32280.4758329241. The cubic root of 1042029120 is about 1013.8178930620.

The spelling of 1042029120 in words is "one billion, forty-two million, twenty-nine thousand, one hundred twenty".