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142301400 = 233524872
BaseRepresentation
bin10000111101101…
…01100011011000
3100220202122211020
420132311203120
5242412121100
622042002440
73345353613
oct1036654330
9326678736
10142301400
117336416a
123b7a6420
1323634a17
1414c8317a
15c75d5a0
hex87b58d8

142301400 has 72 divisors (see below), whose sum is σ = 442042020. Its totient is φ = 37869120.

The previous prime is 142301399. The next prime is 142301413. The reversal of 142301400 is 4103241.

142301400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 142301400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 291957 + ... + 292443.

Almost surely, 2142301400 is an apocalyptic number.

142301400 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 142301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221021010).

142301400 is an abundant number, since it is smaller than the sum of its proper divisors (299740620).

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

142301400 is an equidigital number, since it uses as much as digits as its factorization.

142301400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 142301400 is about 11929.0150473541. The cubic root of 142301400 is about 522.0791999733.

Multiplying 142301400 by its product of nonzero digits (96), we get a square (13660934400 = 1168802).

Adding to 142301400 its reverse (4103241), we get a palindrome (146404641).

The spelling of 142301400 in words is "one hundred forty-two million, three hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 487 600 974 1461 1948 2435 2922 3896 4870 5844 7305 9740 11688 12175 14610 19480 24350 29220 36525 48700 58440 73050 97400 146100 237169 292200 474338 711507 948676 1185845 1423014 1897352 2371690 2846028 3557535 4743380 5692056 5929225 7115070 9486760 11858450 14230140 17787675 23716900 28460280 35575350 47433800 71150700 142301400