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142611360 = 25351991493
BaseRepresentation
bin10001000000000…
…01001110100000
3100221100102000020
420200001032200
5243002030420
622052353440
73351114363
oct1040011640
9327312006
10142611360
1173556031
123b915880
1323712b28
1414d240da
15c7c0340
hex88013a0

142611360 has 96 divisors (see below), whose sum is σ = 451785600. Its totient is φ = 37813248.

The previous prime is 142611331. The next prime is 142611389. The reversal of 142611360 is 63116241.

It is an interprime number because it is at equal distance from previous prime (142611331) and next prime (142611389).

It is a tau number, because it is divible by the number of its divisors (96).

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 142611360.

It is a congruent number.

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, 94774 + ... + 96266.

It is an arithmetic number, because the mean of its divisors is an integer number (4706100).

Almost surely, 2142611360 is an apocalyptic number.

142611360 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 142611360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225892800).

142611360 is an abundant number, since it is smaller than the sum of its proper divisors (309174240).

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

142611360 is a wasteful number, since it uses less digits than its factorization.

142611360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 142611360 is about 11941.9998325239. Note that the first 3 decimals coincide. The cubic root of 142611360 is about 522.4579882737.

The spelling of 142611360 in words is "one hundred forty-two million, six hundred eleven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 199 240 398 480 597 796 995 1194 1493 1592 1990 2388 2985 2986 3184 3980 4479 4776 5970 5972 6368 7465 7960 8958 9552 11940 11944 14930 15920 17916 19104 22395 23880 23888 29860 31840 35832 44790 47760 47776 59720 71664 89580 95520 119440 143328 179160 238880 297107 358320 594214 716640 891321 1188428 1485535 1782642 2376856 2971070 3565284 4456605 4753712 5942140 7130568 8913210 9507424 11884280 14261136 17826420 23768560 28522272 35652840 47537120 71305680 142611360