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142203264 = 273752903
BaseRepresentation
bin10000111100111…
…01100110000000
3100220120200012120
420132131212000
5242401001024
622035524240
73344464530
oct1036354600
9326520176
10142203264
11732a7465
123b759680
13235cc158
1414c594c0
15c73e479
hex879d980

142203264 has 64 divisors (see below), whose sum is σ = 431696640. Its totient is φ = 40628736.

The previous prime is 142203263. The next prime is 142203289. The reversal of 142203264 is 462302241.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142203263) 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, 23764 + ... + 29139.

It is an arithmetic number, because the mean of its divisors is an integer number (6745260).

Almost surely, 2142203264 is an apocalyptic number.

142203264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

142203264 is an abundant number, since it is smaller than the sum of its proper divisors (289493376).

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

142203264 is an equidigital number, since it uses as much as digits as its factorization.

142203264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52927 (or 52915 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 142203264 is about 11924.9010058784. The cubic root of 142203264 is about 521.9591577094.

The spelling of 142203264 in words is "one hundred forty-two million, two hundred three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 52903 105806 158709 211612 317418 370321 423224 634836 740642 846448 1110963 1269672 1481284 1692896 2221926 2539344 2962568 3385792 4443852 5078688 5925136 6771584 8887704 10157376 11850272 17775408 20314752 23700544 35550816 47401088 71101632 142203264