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142691400 = 23325279273
BaseRepresentation
bin10001000000101…
…00110001001000
3100221111110210200
420200110301020
5243012111100
622054212200
73351566625
oct1040246110
9327443720
10142691400
1173600185
123b954060
13237403a7
1414d4534c
15c7d8e00
hex8814c48

142691400 has 72 divisors (see below), whose sum is σ = 479211330. Its totient is φ = 38050560.

The previous prime is 142691399. The next prime is 142691401. The reversal of 142691400 is 4196241.

It is an interprime number because it is at equal distance from previous prime (142691399) and next prime (142691401).

It can be written as a sum of positive squares in 3 ways, for example, as 81757764 + 60933636 = 9042^2 + 7806^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (142691401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 37837 + ... + 41436.

Almost surely, 2142691400 is an apocalyptic number.

142691400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142691400 is an abundant number, since it is smaller than the sum of its proper divisors (336519930).

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

142691400 is a wasteful number, since it uses less digits than its factorization.

142691400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79295 (or 79283 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 142691400 is about 11945.3505599459. The cubic root of 142691400 is about 522.5557124114. Note that the first 3 decimals are identical.

The spelling of 142691400 in words is "one hundred forty-two million, six hundred ninety-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 79273 158546 237819 317092 396365 475638 634184 713457 792730 951276 1189095 1426914 1585460 1902552 1981825 2378190 2853828 3170920 3567285 3963650 4756380 5707656 5945475 7134570 7927300 9512760 11890950 14269140 15854600 17836425 23781900 28538280 35672850 47563800 71345700 142691400