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142070784 = 2103103449
BaseRepresentation
bin10000111011111…
…01010000000000
3100220022221110220
420131331100000
5242332231114
622033023040
73343403352
oct1035752000
9326287426
10142070784
1173216979
123b6b4a80
1323583a6b
1414c230d2
15c7150a9
hex877d400

142070784 has 88 divisors (see below), whose sum is σ = 383198400. Its totient is φ = 46792704.

The previous prime is 142070777. The next prime is 142070821. The reversal of 142070784 is 487070241.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 316192 + ... + 316640.

Almost surely, 2142070784 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 142070784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191599200).

142070784 is an abundant number, since it is smaller than the sum of its proper divisors (241127616).

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

142070784 is a wasteful number, since it uses less digits than its factorization.

142070784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 142070784 is about 11919.3449484441. The cubic root of 142070784 is about 521.7970174226.

The spelling of 142070784 in words is "one hundred forty-two million, seventy thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 256 309 384 412 449 512 618 768 824 898 1024 1236 1347 1536 1648 1796 2472 2694 3072 3296 3592 4944 5388 6592 7184 9888 10776 13184 14368 19776 21552 26368 28736 39552 43104 46247 52736 57472 79104 86208 92494 105472 114944 138741 158208 172416 184988 229888 277482 316416 344832 369976 459776 554964 689664 739952 1109928 1379328 1479904 2219856 2959808 4439712 5919616 8879424 11839232 17758848 23678464 35517696 47356928 71035392 142070784