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142945320 = 233571671019
BaseRepresentation
bin10001000010100…
…10110000101000
3100221222101010010
420201102300220
5243043222240
622103451520
73354005130
oct1041226050
9327871103
10142945320
1173763a31
123ba56ba0
13237cbb3b
1414dadac0
15c839280
hex8852c28

142945320 has 128 divisors (see below), whose sum is σ = 493516800. Its totient is φ = 32445696.

The previous prime is 142945307. The next prime is 142945343. The reversal of 142945320 is 23549241.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139771 + ... + 140789.

It is an arithmetic number, because the mean of its divisors is an integer number (3855600).

Almost surely, 2142945320 is an apocalyptic number.

142945320 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 142945320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246758400).

142945320 is an abundant number, since it is smaller than the sum of its proper divisors (350571480).

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

142945320 is a wasteful number, since it uses less digits than its factorization.

142945320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 142945320 is about 11955.9742388481. The cubic root of 142945320 is about 522.8654921605.

The spelling of 142945320 in words is "one hundred forty-two million, nine hundred forty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 167 168 210 280 334 420 501 668 835 840 1002 1019 1169 1336 1670 2004 2038 2338 2505 3057 3340 3507 4008 4076 4676 5010 5095 5845 6114 6680 7014 7133 8152 9352 10020 10190 11690 12228 14028 14266 15285 17535 20040 20380 21399 23380 24456 28056 28532 30570 35070 35665 40760 42798 46760 57064 61140 70140 71330 85596 106995 122280 140280 142660 170173 171192 213990 285320 340346 427980 510519 680692 850865 855960 1021038 1191211 1361384 1701730 2042076 2382422 2552595 3403460 3573633 4084152 4764844 5105190 5956055 6806920 7147266 9529688 10210380 11912110 14294532 17868165 20420760 23824220 28589064 35736330 47648440 71472660 142945320