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10029292020 = 22345111394049
BaseRepresentation
bin10010101011100101…
…01101100111110100
3221212221212211020000
421111302231213310
5131014444321040
64335110311300
7503351401266
oct112562554764
927787784200
1010029292020
1142873015a0
121b3a958530
13c3aaa5127
146b1dc9b36
153da747130
hex255cad9f4

10029292020 has 240 divisors, whose sum is σ = 34577928000. Its totient is φ = 2413255680.

The previous prime is 10029291997. The next prime is 10029292051. The reversal of 10029292020 is 2029292001.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2474956 + ... + 2479004.

It is an arithmetic number, because the mean of its divisors is an integer number (144074700).

Almost surely, 210029292020 is an apocalyptic number.

10029292020 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 10029292020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17288964000).

10029292020 is an abundant number, since it is smaller than the sum of its proper divisors (24548635980).

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

10029292020 is a wasteful number, since it uses less digits than its factorization.

10029292020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4220 (or 4209 counting only the distinct ones).

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

The spelling of 10029292020 in words is "ten billion, twenty-nine million, two hundred ninety-two thousand, twenty".