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142304040 = 23345167263
BaseRepresentation
bin10000111101101…
…10001100101000
3100220202210110000
420132312030220
5242412212130
622042023000
73345364404
oct1036661450
9326683400
10142304040
117336614a
123b7a7a60
1323635c98
1414c84104
15c75e260
hex87b6328

142304040 has 160 divisors (see below), whose sum is σ = 482993280. Its totient is φ = 37577088.

The previous prime is 142304039. The next prime is 142304069. The reversal of 142304040 is 40403241.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 39 ways as a sum of consecutive naturals, for example, 540949 + ... + 541211.

It is an arithmetic number, because the mean of its divisors is an integer number (3018708).

Almost surely, 2142304040 is an apocalyptic number.

142304040 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 142304040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241496640).

142304040 is an abundant number, since it is smaller than the sum of its proper divisors (340689240).

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

142304040 is a wasteful number, since it uses less digits than its factorization.

142304040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 142304040 is about 11929.1257014083. The cubic root of 142304040 is about 522.0824285210.

Adding to 142304040 its reverse (40403241), we get a palindrome (182707281).

The spelling of 142304040 in words is "one hundred forty-two million, three hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 167 180 216 263 270 324 334 360 405 501 526 540 648 668 789 810 835 1002 1052 1080 1315 1336 1503 1578 1620 1670 2004 2104 2367 2505 2630 3006 3156 3240 3340 3945 4008 4509 4734 5010 5260 6012 6312 6680 7101 7515 7890 9018 9468 10020 10520 11835 12024 13527 14202 15030 15780 18036 18936 20040 21303 22545 23670 27054 28404 30060 31560 35505 36072 42606 43921 45090 47340 54108 56808 60120 67635 71010 85212 87842 90180 94680 106515 108216 131763 135270 142020 170424 175684 180360 213030 219605 263526 270540 284040 351368 395289 426060 439210 527052 541080 658815 790578 852120 878420 1054104 1185867 1317630 1581156 1756840 1976445 2371734 2635260 3162312 3557601 3952890 4743468 5270520 5929335 7115202 7905780 9486936 11858670 14230404 15811560 17788005 23717340 28460808 35576010 47434680 71152020 142304040