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142190784 = 26322310733
BaseRepresentation
bin10000111100110…
…10100011000000
3100220120001002100
420132122203000
5242400101114
622035350400
73344413251
oct1036324300
9326501070
10142190784
117329904a
123b752400
13235c6578
1414c54b28
15c73a909
hex879a8c0

142190784 has 84 divisors (see below), whose sum is σ = 425324016. Its totient is φ = 45331968.

The previous prime is 142190773. The next prime is 142190791. The reversal of 142190784 is 487091241.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7882 + ... + 18614.

Almost surely, 2142190784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142190784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212662008).

142190784 is an abundant number, since it is smaller than the sum of its proper divisors (283133232).

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

142190784 is a wasteful number, since it uses less digits than its factorization.

142190784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10774 (or 10761 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 142190784 is about 11924.3777196129. The cubic root of 142190784 is about 521.9438879219.

The spelling of 142190784 in words is "one hundred forty-two million, one hundred ninety thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1472 1656 2208 3312 4416 6624 10733 13248 21466 32199 42932 64398 85864 96597 128796 171728 193194 246859 257592 343456 386388 493718 515184 686912 740577 772776 987436 1030368 1481154 1545552 1974872 2060736 2221731 2962308 3091104 3949744 4443462 5924616 6182208 7899488 8886924 11849232 15798976 17773848 23698464 35547696 47396928 71095392 142190784