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1035505242 = 233139137957
BaseRepresentation
bin111101101110001…
…000111001011010
32200011111010011000
4331232020321122
54110042131432
6250430245430
734442435502
oct7556107132
92604433130
101035505242
11491574462
1224a956876
131366bbbc5
149b750a02
1560d9657c
hex3db88e5a

1035505242 has 32 divisors (see below), whose sum is σ = 2317694400. Its totient is φ = 342682704.

The previous prime is 1035505223. The next prime is 1035505243. The reversal of 1035505242 is 2425055301.

It is a happy number.

1035505242 is a `hidden beast` number, since 103 + 550 + 5 + 2 + 4 + 2 = 666.

It is a super-3 number, since 3×10355052423 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (1035505243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61473 + ... + 76484.

It is an arithmetic number, because the mean of its divisors is an integer number (72427950).

Almost surely, 21035505242 is an apocalyptic number.

1035505242 is an abundant number, since it is smaller than the sum of its proper divisors (1282189158).

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

1035505242 is a wasteful number, since it uses less digits than its factorization.

1035505242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138107 (or 138101 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 1035505242 is about 32179.2672694703. The cubic root of 1035505242 is about 1011.6977106740.

The spelling of 1035505242 in words is "one billion, thirty-five million, five hundred five thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 139 278 417 834 1251 2502 3753 7506 137957 275914 413871 827742 1241613 2483226 3724839 7449678 19176023 38352046 57528069 115056138 172584207 345168414 517752621 1035505242