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1097940042 = 233192294673
BaseRepresentation
bin100000101110001…
…0011110001001010
32211111222010121000
41001130103301022
54222033040132
6300540355430
736131223243
oct10134236112
92744863530
101097940042
11513838671
12267845b76
1314660c184
14a5b63cca
15665ca87c
hex41713c4a

1097940042 has 64 divisors (see below), whose sum is σ = 2580048000. Its totient is φ = 345129984.

The previous prime is 1097940031. The next prime is 1097940043. The reversal of 1097940042 is 2400497901.

It is a junction number, because it is equal to n+sod(n) for n = 1097939979 and 1097940006.

It is not an unprimeable number, because it can be changed into a prime (1097940043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232618 + ... + 237290.

It is an arithmetic number, because the mean of its divisors is an integer number (40313250).

Almost surely, 21097940042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1097940042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290024000).

1097940042 is an abundant number, since it is smaller than the sum of its proper divisors (1482107958).

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

1097940042 is a wasteful number, since it uses less digits than its factorization.

1097940042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4932 (or 4926 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1097940042 is about 33135.1783155003. The cubic root of 1097940042 is about 1031.6353328926.

The spelling of 1097940042 in words is "one billion, ninety-seven million, nine hundred forty thousand, forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 229 342 458 513 687 1026 1374 2061 4122 4351 4673 6183 8702 9346 12366 13053 14019 26106 28038 39159 42057 78318 84114 88787 117477 126171 177574 234954 252342 266361 532722 799083 1070117 1598166 2140234 2397249 3210351 4794498 6420702 9631053 19262106 20332223 28893159 40664446 57786318 60996669 121993338 182990007 365980014 548970021 1097940042