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142355400 = 233521121569
BaseRepresentation
bin10000111110000…
…10101111001000
3100220212101220020
420133002233020
5242420333100
622043100440
73346000215
oct1037025710
9326771806
10142355400
11733a07a0
123b811720
1323653485
1414c98b0c
15c76e5a0
hex87c2bc8

142355400 has 96 divisors (see below), whose sum is σ = 481442400. Its totient is φ = 34508800.

The previous prime is 142355383. The next prime is 142355419. The reversal of 142355400 is 4553241.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4185 + ... + 17384.

It is an arithmetic number, because the mean of its divisors is an integer number (5015025).

Almost surely, 2142355400 is an apocalyptic number.

142355400 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 142355400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240721200).

142355400 is an abundant number, since it is smaller than the sum of its proper divisors (339087000).

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

142355400 is a wasteful number, since it uses less digits than its factorization.

142355400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21599 (or 21590 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 142355400 is about 11931.2782215486. The cubic root of 142355400 is about 522.1452305053.

The spelling of 142355400 in words is "one hundred forty-two million, three hundred fifty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 21569 43138 64707 86276 107845 129414 172552 215690 237259 258828 323535 431380 474518 517656 539225 647070 711777 862760 949036 1078450 1186295 1294140 1423554 1617675 1898072 2156900 2372590 2588280 2847108 3235350 3558885 4313800 4745180 5694216 5931475 6470700 7117770 9490360 11862950 12941400 14235540 17794425 23725900 28471080 35588850 47451800 71177700 142355400