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1010083932 = 22351113343
BaseRepresentation
bin111100001101001…
…010100001011100
32121101122120200000
4330031022201130
54032040141212
6244121334300
734013400054
oct7415124134
92541576600
101010083932
11479191010
12242337390
1313135b000
1498214564
155da241dc
hex3c34a85c

1010083932 has 288 divisors, whose sum is σ = 3201918720. Its totient is φ = 275970240.

The previous prime is 1010083901. The next prime is 1010083957. The reversal of 1010083932 is 2393800101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1010083896 and 1010083905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23490303 + ... + 23490345.

Almost surely, 21010083932 is an apocalyptic number.

1010083932 is a gapful number since it is divisible by the number (12) 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 1010083932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600959360).

1010083932 is an abundant number, since it is smaller than the sum of its proper divisors (2191834788).

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

1010083932 is a wasteful number, since it uses less digits than its factorization.

1010083932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1010083932 is about 31781.8176320990. The cubic root of 1010083932 is about 1003.3500751307.

The spelling of 1010083932 in words is "one billion, ten million, eighty-three thousand, nine hundred thirty-two".