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142452420 = 2235111012137
BaseRepresentation
bin10000111110110…
…10011011000100
3100221001022222120
420133122123010
5242431434140
622045125540
73346553115
oct1037323304
9327038876
10142452420
1173457680
123b8598b0
1323688696
1414cc220c
15c78d1d0
hex87da6c4

142452420 has 96 divisors (see below), whose sum is σ = 439641216. Its totient is φ = 34176000.

The previous prime is 142452407. The next prime is 142452439. The reversal of 142452420 is 24254241.

It is a happy number.

142452420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 65592 + ... + 67728.

It is an arithmetic number, because the mean of its divisors is an integer number (4579596).

Almost surely, 2142452420 is an apocalyptic number.

142452420 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 142452420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219820608).

142452420 is an abundant number, since it is smaller than the sum of its proper divisors (297188796).

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

142452420 is a wasteful number, since it uses less digits than its factorization.

142452420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2261 (or 2259 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 142452420 is about 11935.3433130346. The cubic root of 142452420 is about 522.2638234216.

The spelling of 142452420 in words is "one hundred forty-two million, four hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 505 606 660 1010 1111 1212 1515 2020 2137 2222 3030 3333 4274 4444 5555 6060 6411 6666 8548 10685 11110 12822 13332 16665 21370 22220 23507 25644 32055 33330 42740 47014 64110 66660 70521 94028 117535 128220 141042 215837 235070 282084 352605 431674 470140 647511 705210 863348 1079185 1295022 1410420 2158370 2374207 2590044 3237555 4316740 4748414 6475110 7122621 9496828 11871035 12950220 14245242 23742070 28490484 35613105 47484140 71226210 142452420