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142775360 = 2657134903
BaseRepresentation
bin10001000001010…
…01010001000000
3100221122201222022
420200221101000
5243022302420
622100101012
73352366460
oct1040512100
9327581868
10142775360
1173658272
123b994768
132376c680
1414d67ba0
15c803c25
hex8829440

142775360 has 112 divisors (see below), whose sum is σ = 418526976. Its totient is φ = 45176832.

The previous prime is 142775327. The next prime is 142775383. The reversal of 142775360 is 63577241.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 142775360.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26669 + ... + 31571.

It is an arithmetic number, because the mean of its divisors is an integer number (3736848).

Almost surely, 2142775360 is an apocalyptic number.

142775360 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 142775360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209263488).

142775360 is an abundant number, since it is smaller than the sum of its proper divisors (275751616).

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

142775360 is a wasteful number, since it uses less digits than its factorization.

142775360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4940 (or 4930 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 142775360 is about 11948.8643811870. The cubic root of 142775360 is about 522.6581833738.

The spelling of 142775360 in words is "one hundred forty-two million, seven hundred seventy-five thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 130 140 160 182 208 224 260 280 320 364 416 448 455 520 560 728 832 910 1040 1120 1456 1820 2080 2240 2912 3640 4160 4903 5824 7280 9806 14560 19612 24515 29120 34321 39224 49030 63739 68642 78448 98060 127478 137284 156896 171605 196120 254956 274568 313792 318695 343210 392240 446173 509912 549136 637390 686420 784480 892346 1019824 1098272 1274780 1372840 1568960 1784692 2039648 2196544 2230865 2549560 2745680 3569384 4079296 4461730 5099120 5491360 7138768 8923460 10198240 10982720 14277536 17846920 20396480 28555072 35693840 71387680 142775360