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142661400 = 23352733967
BaseRepresentation
bin10001000000011…
…01011100011000
3100221102221122120
420200031130120
5243010131100
622053421240
73351413310
oct1040153430
9327387576
10142661400
117358a692
123b93a820
132372c83b
1414d38440
15c7d00a0
hex880d718

142661400 has 96 divisors (see below), whose sum is σ = 505443840. Its totient is φ = 32607360.

The previous prime is 142661377. The next prime is 142661413. The reversal of 142661400 is 4166241.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12784 + ... + 21183.

It is an arithmetic number, because the mean of its divisors is an integer number (5265040).

Almost surely, 2142661400 is an apocalyptic number.

142661400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142661400 is an abundant number, since it is smaller than the sum of its proper divisors (362782440).

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

142661400 is a wasteful number, since it uses less digits than its factorization.

142661400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33993 (or 33984 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 142661400 is about 11944.0947752435. The cubic root of 142661400 is about 522.5190884566.

It can be divided in two parts, 1426 and 61400, that added together give a palindrome (62826).

The spelling of 142661400 in words is "one hundred forty-two million, six hundred sixty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 33967 67934 101901 135868 169835 203802 237769 271736 339670 407604 475538 509505 679340 713307 815208 849175 951076 1019010 1188845 1358680 1426614 1698350 1902152 2038020 2377690 2547525 2853228 3396700 3566535 4076040 4755380 5095050 5706456 5944225 6793400 7133070 9510760 10190100 11888450 14266140 17832675 20380200 23776900 28532280 35665350 47553800 71330700 142661400