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143270400 = 2935271341
BaseRepresentation
bin10001000101000…
…10001000000000
3100222120220001010
420202202020000
5243134123100
622114440520
73356530650
oct1042421000
9328526033
10143270400
1173966199
123bb93140
13238b3ab0
1415056360
15c8a0750
hex88a2200

143270400 has 480 divisors, whose sum is σ = 596711808. Its totient is φ = 29491200.

The previous prime is 143270399. The next prime is 143270447. The reversal of 143270400 is 4072341.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3494380 + ... + 3494420.

Almost surely, 2143270400 is an apocalyptic number.

143270400 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 143270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298355904).

143270400 is an abundant number, since it is smaller than the sum of its proper divisors (453441408).

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

143270400 is a wasteful number, since it uses less digits than its factorization.

143270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 143270400 is about 11969.5613954731. The cubic root of 143270400 is about 523.2615513629.

The spelling of 143270400 in words is "one hundred forty-three million, two hundred seventy thousand, four hundred".