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1010934920 = 235177120939
BaseRepresentation
bin111100010000011…
…010010010001000
32121110020211000002
4330100122102020
54032244404140
6244151502132
734023543062
oct7420322210
92543224002
101010934920
11479712406
12242687948
13131598458
1498396732
155db41415
hex3c41a488

1010934920 has 64 divisors (see below), whose sum is σ = 2442441600. Its totient is φ = 375208960.

The previous prime is 1010934913. The next prime is 1010934929. The reversal of 1010934920 is 294390101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1010934929) 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 15 ways as a sum of consecutive naturals, for example, 37811 + ... + 58749.

It is an arithmetic number, because the mean of its divisors is an integer number (38163150).

Almost surely, 21010934920 is an apocalyptic number.

1010934920 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 1010934920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221220800).

1010934920 is an abundant number, since it is smaller than the sum of its proper divisors (1431506680).

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

1010934920 is a wasteful number, since it uses less digits than its factorization.

1010934920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21038 (or 21034 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 1010934920 is about 31795.2027828099. The cubic root of 1010934920 is about 1003.6317676299.

The spelling of 1010934920 in words is "one billion, ten million, nine hundred thirty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 71 85 136 142 170 284 340 355 568 680 710 1207 1420 2414 2840 4828 6035 9656 12070 20939 24140 41878 48280 83756 104695 167512 209390 355963 418780 711926 837560 1423852 1486669 1779815 2847704 2973338 3559630 5946676 7119260 7433345 11893352 14238520 14866690 25273373 29733380 50546746 59466760 101093492 126366865 202186984 252733730 505467460 1010934920