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142212400 = 24521132321
BaseRepresentation
bin10000111100111…
…11110100110000
3100220121010201221
420132133310300
5242401244100
622040034424
73344533261
oct1036376460
9326533657
10142212400
1173303310
123b762a14
1323603365
1414c5c968
15c74201a
hex879fd30

142212400 has 60 divisors (see below), whose sum is σ = 372737304. Its totient is φ = 51712000.

The previous prime is 142212373. The next prime is 142212419. The reversal of 142212400 is 4212241.

142212400 is digitally balanced in base 3, 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 (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11761 + ... + 20560.

Almost surely, 2142212400 is an apocalyptic number.

142212400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142212400 is an abundant number, since it is smaller than the sum of its proper divisors (230524904).

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

142212400 is a wasteful number, since it uses less digits than its factorization.

142212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32350 (or 32339 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 142212400 is about 11925.2840637026. The cubic root of 142212400 is about 521.9703354105.

Adding to 142212400 its reverse (4212241), we get a palindrome (146424641).

The spelling of 142212400 in words is "one hundred forty-two million, two hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 32321 64642 129284 161605 258568 323210 355531 517136 646420 711062 808025 1292840 1422124 1616050 1777655 2585680 2844248 3232100 3555310 5688496 6464200 7110620 8888275 12928400 14221240 17776550 28442480 35553100 71106200 142212400