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1245142140 = 22351110118679
BaseRepresentation
bin100101000110111…
…0101110001111100
310012202221202220120
41022031311301330
510022224022030
6323315414540
742566351004
oct11215656174
93182852816
101245142140
115899397a0
122a8bb4450
1316ac6b6c8
14bb521004
15744a6010
hex4a375c7c

1245142140 has 96 divisors (see below), whose sum is σ = 3841205760. Its totient is φ = 298848000.

The previous prime is 1245142133. The next prime is 1245142159. The reversal of 1245142140 is 412415421.

It is a self number, because there is not a number n which added to its sum of digits gives 1245142140.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 57321 + ... + 75999.

It is an arithmetic number, because the mean of its divisors is an integer number (40012560).

Almost surely, 21245142140 is an apocalyptic number.

1245142140 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 1245142140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920602880).

1245142140 is an abundant number, since it is smaller than the sum of its proper divisors (2596063620).

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

1245142140 is a wasteful number, since it uses less digits than its factorization.

1245142140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18803 (or 18801 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 1245142140 is about 35286.5716668537. The cubic root of 1245142140 is about 1075.8200744373.

Adding to 1245142140 its reverse (412415421), we get a palindrome (1657557561).

The spelling of 1245142140 in words is "one billion, two hundred forty-five million, one hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 505 606 660 1010 1111 1212 1515 2020 2222 3030 3333 4444 5555 6060 6666 11110 13332 16665 18679 22220 33330 37358 56037 66660 74716 93395 112074 186790 205469 224148 280185 373580 410938 560370 616407 821876 1027345 1120740 1232814 1886579 2054690 2465628 3082035 3773158 4109380 5659737 6164070 7546316 9432895 11319474 12328140 18865790 20752369 22638948 28298685 37731580 41504738 56597370 62257107 83009476 103761845 113194740 124514214 207523690 249028428 311285535 415047380 622571070 1245142140