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142001840 = 24553107313
BaseRepresentation
bin10000111011011…
…00011010110000
3100220012102220102
420131230122300
5242323024330
622031331532
73342665351
oct1035543260
9326172812
10142001840
117317a0a2
123b680ba8
132355b576
1414c05d28
15c6ee945
hex876c6b0

142001840 has 80 divisors (see below), whose sum is σ = 340612128. Its totient is φ = 55031808.

The previous prime is 142001837. The next prime is 142001861. The reversal of 142001840 is 48100241.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 453524 + ... + 453836.

Almost surely, 2142001840 is an apocalyptic number.

142001840 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 142001840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170306064).

142001840 is an abundant number, since it is smaller than the sum of its proper divisors (198610288).

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

142001840 is a wasteful number, since it uses less digits than its factorization.

142001840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 142001840 is about 11916.4524922479. The cubic root of 142001840 is about 521.7125980147.

The spelling of 142001840 in words is "one hundred forty-two million, one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 107 212 214 265 313 424 428 530 535 626 848 856 1060 1070 1252 1565 1712 2120 2140 2504 3130 4240 4280 5008 5671 6260 8560 11342 12520 16589 22684 25040 28355 33178 33491 45368 56710 66356 66982 82945 90736 113420 132712 133964 165890 167455 226840 265424 267928 331780 334910 453680 535856 663560 669820 1327120 1339640 1775023 2679280 3550046 7100092 8875115 14200184 17750230 28400368 35500460 71000920 142001840