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142210800 = 24325239503
BaseRepresentation
bin10000111100111…
…11011011110000
3100220121001112200
420132133123300
5242401221200
622040023200
73344525514
oct1036373360
9326531480
10142210800
1173302096
123b761b00
1323602704
1414c5c144
15c741800
hex879f6f0

142210800 has 90 divisors (see below), whose sum is σ = 493523472. Its totient is φ = 37921920.

The previous prime is 142210793. The next prime is 142210807. The reversal of 142210800 is 8012241.

It is an interprime number because it is at equal distance from previous prime (142210793) and next prime (142210807).

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142210807) 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, 16152 + ... + 23351.

Almost surely, 2142210800 is an apocalyptic number.

142210800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142210800 is an abundant number, since it is smaller than the sum of its proper divisors (351312672).

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

142210800 is a wasteful number, since it uses less digits than its factorization.

142210800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39527 (or 39513 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 142210800 is about 11925.2169791581. The cubic root of 142210800 is about 521.9683778792.

The spelling of 142210800 in words is "one hundred forty-two million, two hundred ten thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 39503 79006 118509 158012 197515 237018 316024 355527 395030 474036 592545 632048 711054 790060 948072 987575 1185090 1422108 1580120 1777635 1896144 1975150 2370180 2844216 2962725 3160240 3555270 3950300 4740360 5688432 5925450 7110540 7900600 8888175 9480720 11850900 14221080 15801200 17776350 23701800 28442160 35552700 47403600 71105400 142210800