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10354240420 = 225895816989
BaseRepresentation
bin10011010010010100…
…10010101110100100
3222201121022220121221
421221022102232210
5132201141143140
64431235150124
7514405406566
oct115112225644
928647286557
1010354240420
114433776097
12200b745344
13c901c97a4
14703215336
1540903314a
hex269292ba4

10354240420 has 24 divisors (see below), whose sum is σ = 21988222200. Its totient is φ = 4095159552.

The previous prime is 10354240411. The next prime is 10354240433. The reversal of 10354240420 is 2404245301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14197824 + 10340042596 = 3768^2 + 101686^2 .

It is a super-3 number, since 3×103542404203 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2906715 + ... + 2910274.

It is an arithmetic number, because the mean of its divisors is an integer number (916175925).

Almost surely, 210354240420 is an apocalyptic number.

10354240420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10354240420 is an abundant number, since it is smaller than the sum of its proper divisors (11633981780).

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

10354240420 is a wasteful number, since it uses less digits than its factorization.

10354240420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5817087 (or 5817085 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 10354240420 its reverse (2404245301), we get a palindrome (12758485721).

The spelling of 10354240420 in words is "ten billion, three hundred fifty-four million, two hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 89 178 356 445 890 1780 5816989 11633978 23267956 29084945 58169890 116339780 517712021 1035424042 2070848084 2588560105 5177120210 10354240420