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142212640 = 2557911251
BaseRepresentation
bin10000111100111…
…11111000100000
3100220121011001211
420132133320200
5242401301030
622040035504
73344534053
oct1036377040
9326534054
10142212640
1173303509
123b762b94
13236034bb
1414c5ca9a
15c74212a
hex879fe20

142212640 has 48 divisors (see below), whose sum is σ = 340260480. Its totient is φ = 56160000.

The previous prime is 142212601. The next prime is 142212643. The reversal of 142212640 is 46212241.

It is a happy number.

142212640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (142212643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7015 + ... + 18265.

It is an arithmetic number, because the mean of its divisors is an integer number (7088760).

Almost surely, 2142212640 is an apocalyptic number.

142212640 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 142212640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170130240).

142212640 is an abundant number, since it is smaller than the sum of its proper divisors (198047840).

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

142212640 is a wasteful number, since it uses less digits than its factorization.

142212640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11345 (or 11337 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 142212640 is about 11925.2941263518. The cubic root of 142212640 is about 521.9706290389.

Adding to 142212640 its reverse (46212241), we get a palindrome (188424881).

It can be divided in two parts, 14221 and 2640, that added together give a palindrome (16861).

The spelling of 142212640 in words is "one hundred forty-two million, two hundred twelve thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 158 160 316 395 632 790 1264 1580 2528 3160 6320 11251 12640 22502 45004 56255 90008 112510 180016 225020 360032 450040 888829 900080 1777658 1800160 3555316 4444145 7110632 8888290 14221264 17776580 28442528 35553160 71106320 142212640