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1245152040 = 2335111516247
BaseRepresentation
bin100101000110111…
…1000001100101000
310012202222021111020
41022031320030220
510022224331130
6323315532440
742566421606
oct11215701450
93182867436
101245152040
11589946180
122a8bba120
1316ac73072
14bb524876
15744a8e10
hex4a378328

1245152040 has 128 divisors (see below), whose sum is σ = 4102686720. Its totient is φ = 299808000.

The previous prime is 1245152039. The next prime is 1245152071. The reversal of 1245152040 is 402515421.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1245152040.

It is an unprimeable number.

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, 196197 + ... + 202443.

It is an arithmetic number, because the mean of its divisors is an integer number (32052240).

Almost surely, 21245152040 is an apocalyptic number.

1245152040 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 1245152040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051343360).

1245152040 is an abundant number, since it is smaller than the sum of its proper divisors (2857534680).

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

1245152040 is a wasteful number, since it uses less digits than its factorization.

1245152040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6423 (or 6419 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 1245152040 is about 35286.7119465671. The cubic root of 1245152040 is about 1075.8229256755.

Adding to 1245152040 its reverse (402515421), we get a palindrome (1647667461).

The spelling of 1245152040 in words is "one billion, two hundred forty-five million, one hundred fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 151 165 220 264 302 330 440 453 604 660 755 906 1208 1320 1510 1661 1812 2265 3020 3322 3624 4530 4983 6040 6247 6644 8305 9060 9966 12494 13288 16610 18120 18741 19932 24915 24988 31235 33220 37482 39864 49830 49976 62470 66440 68717 74964 93705 99660 124940 137434 149928 187410 199320 206151 249880 274868 343585 374820 412302 549736 687170 749640 824604 943297 1030755 1374340 1649208 1886594 2061510 2748680 2829891 3773188 4123020 4716485 5659782 7546376 8246040 9432970 10376267 11319564 14149455 18865940 20752534 22639128 28298910 31128801 37731880 41505068 51881335 56597820 62257602 83010136 103762670 113195640 124515204 155644005 207525340 249030408 311288010 415050680 622576020 1245152040