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141827400 = 23325211131929
BaseRepresentation
bin10000111010000…
…01110101001000
3100212212120121200
420131001311020
5242301434100
622023504200
73341340651
oct1035016510
9325776550
10141827400
1173070030
123b5b8060
13234ca050
1414b9c528
15c6b7e00
hex8741d48

141827400 has 576 divisors, whose sum is σ = 609336000. Its totient is φ = 29030400.

The previous prime is 141827383. The next prime is 141827443. The reversal of 141827400 is 4728141.

It is a super-2 number, since 2×1418274002 = 40230022781520000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4890586 + ... + 4890614.

It is an arithmetic number, because the mean of its divisors is an integer number (1057875).

Almost surely, 2141827400 is an apocalyptic number.

141827400 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 141827400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304668000).

141827400 is an abundant number, since it is smaller than the sum of its proper divisors (467508600).

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

141827400 is a wasteful number, since it uses less digits than its factorization.

141827400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 141827400 is about 11909.1309506613. The cubic root of 141827400 is about 521.4988805101.

It can be divided in two parts, 141 and 827400, that added together give a triangular number (827541 = T1286).

The spelling of 141827400 in words is "one hundred forty-one million, eight hundred twenty-seven thousand, four hundred".