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142001700 = 223523115269
BaseRepresentation
bin10000111011011…
…00011000100100
3100220012102201020
420131230120210
5242323023300
622031331140
73342665061
oct1035543044
9326172636
10142001700
1173179a85
123b680ab0
132355b499
1414c05c68
15c6ee8a0
hex876c624

142001700 has 72 divisors (see below), whose sum is σ = 424139520. Its totient is φ = 36643200.

The previous prime is 142001693. The next prime is 142001707. The reversal of 142001700 is 7100241.

It is an interprime number because it is at equal distance from previous prime (142001693) and next prime (142001707).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 142001700.

It is not an unprimeable number, because it can be changed into a prime (142001707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1666 + ... + 16934.

Almost surely, 2142001700 is an apocalyptic number.

142001700 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 142001700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212069760).

142001700 is an abundant number, since it is smaller than the sum of its proper divisors (282137820).

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

142001700 is a wasteful number, since it uses less digits than its factorization.

142001700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15317 (or 15310 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 142001700 is about 11916.4466180150. The cubic root of 142001700 is about 521.7124265620.

Adding to 142001700 its reverse (7100241), we get a palindrome (149101941).

The spelling of 142001700 in words is "one hundred forty-two million, one thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 9300 15269 30538 45807 61076 76345 91614 152690 183228 229035 305380 381725 458070 473339 763450 916140 946678 1145175 1420017 1526900 1893356 2290350 2366695 2840034 4580700 4733390 5680068 7100085 9466780 11833475 14200170 23666950 28400340 35500425 47333900 71000850 142001700