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142431360 = 2735312393
BaseRepresentation
bin10000111110101…
…01010010000000
3100221000021002120
420133111102000
5242430300420
622044444240
73346434531
oct1037252200
9327007076
10142431360
1173442875
123b849680
132367bc16
1414cb8688
15c786d40
hex87d5480

142431360 has 128 divisors (see below), whose sum is σ = 468840960. Its totient is φ = 36741120.

The previous prime is 142431349. The next prime is 142431361. The reversal of 142431360 is 63134241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1424313602 = 40573384622899200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 142431360.

It is not an unprimeable number, because it can be changed into a prime (142431361) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 58324 + ... + 60716.

It is an arithmetic number, because the mean of its divisors is an integer number (3662820).

Almost surely, 2142431360 is an apocalyptic number.

142431360 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 142431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234420480).

142431360 is an abundant number, since it is smaller than the sum of its proper divisors (326409600).

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

142431360 is a wasteful number, since it uses less digits than its factorization.

142431360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 142431360 is about 11934.4610267913. The cubic root of 142431360 is about 522.2380851946.

The spelling of 142431360 in words is "one hundred forty-two million, four hundred thirty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 310 320 372 384 465 480 496 620 640 744 930 960 992 1240 1488 1860 1920 1984 2393 2480 2976 3720 3968 4786 4960 5952 7179 7440 9572 9920 11904 11965 14358 14880 19144 19840 23930 28716 29760 35895 38288 47860 57432 59520 71790 74183 76576 95720 114864 143580 148366 153152 191440 222549 229728 287160 296732 306304 370915 382880 445098 459456 574320 593464 741830 765760 890196 918912 1112745 1148640 1186928 1483660 1531520 1780392 2225490 2297280 2373856 2967320 3560784 4450980 4594560 4747712 5934640 7121568 8901960 9495424 11869280 14243136 17803920 23738560 28486272 35607840 47477120 71215680 142431360