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141573920 = 2553672411
BaseRepresentation
bin10000111000000…
…11111100100000
3100212101200220112
420130003330200
5242220331140
622014230452
73336233645
oct1034037440
9325350815
10141573920
1172a07644
123b4b5428
132343b867
1414b33dcc
15c667c65
hex8703f20

141573920 has 48 divisors (see below), whose sum is σ = 335518848. Its totient is φ = 56451840.

The previous prime is 141573919. The next prime is 141573961. The reversal of 141573920 is 29375141.

141573920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 57515 + ... + 59925.

It is an arithmetic number, because the mean of its divisors is an integer number (6989976).

Almost surely, 2141573920 is an apocalyptic number.

141573920 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 141573920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167759424).

141573920 is an abundant number, since it is smaller than the sum of its proper divisors (193944928).

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

141573920 is a wasteful number, since it uses less digits than its factorization.

141573920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2793 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 141573920 is about 11898.4839370400. The cubic root of 141573920 is about 521.1880135312.

The spelling of 141573920 in words is "one hundred forty-one million, five hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 367 734 1468 1835 2411 2936 3670 4822 5872 7340 9644 11744 12055 14680 19288 24110 29360 38576 48220 58720 77152 96440 192880 385760 884837 1769674 3539348 4424185 7078696 8848370 14157392 17696740 28314784 35393480 70786960 141573920