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1010240420 = 225753173787
BaseRepresentation
bin111100001101110…
…000101110100100
32121101221112022212
4330031300232210
54032110143140
6244124542552
734014621230
oct7415605644
92541845285
101010240420
11479288642
122423b1a58
131313b42c7
14982555c0
155da55765
hex3c370ba4

1010240420 has 96 divisors (see below), whose sum is σ = 2487760128. Its totient is φ = 337439232.

The previous prime is 1010240417. The next prime is 1010240443. The reversal of 1010240420 is 240420101.

1010240420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1010240395 and 1010240404.

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, 1283267 + ... + 1284053.

It is an arithmetic number, because the mean of its divisors is an integer number (25914168).

Almost surely, 21010240420 is an apocalyptic number.

1010240420 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 1010240420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243880064).

1010240420 is an abundant number, since it is smaller than the sum of its proper divisors (1477519708).

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

1010240420 is a wasteful number, since it uses less digits than its factorization.

1010240420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1010240420 is about 31784.2794475508. The cubic root of 1010240420 is about 1003.4018873725.

Adding to 1010240420 its reverse (240420101), we get a palindrome (1250660521).

The spelling of 1010240420 in words is "one billion, ten million, two hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 173 212 265 346 371 530 692 742 787 865 1060 1211 1484 1574 1730 1855 2422 3148 3460 3710 3935 4844 5509 6055 7420 7870 9169 11018 12110 15740 18338 22036 24220 27545 36676 41711 45845 55090 64183 83422 91690 110180 128366 136151 166844 183380 208555 256732 272302 291977 320915 417110 544604 583954 641830 680755 834220 953057 1167908 1283660 1361510 1459885 1906114 2723020 2919770 3812228 4765285 5839540 7216003 9530570 14432006 19061140 28864012 36080015 50512021 72160030 101024042 144320060 202048084 252560105 505120210 1010240420