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141432320 = 295101547
BaseRepresentation
bin10000110111000…
…01011000000000
3100212010111200002
420123201120000
5242201313240
622011215132
73335104061
oct1033413000
9325114602
10141432320
1172920217
123b4474a8
13233bc283
1414ad8568
15c63ad15
hex86e1600

141432320 has 80 divisors (see below), whose sum is σ = 343089648. Its totient is φ = 55910400.

The previous prime is 141432311. The next prime is 141432337. The reversal of 141432320 is 23234141.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1414323202 = 40006202281164800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 141432292 and 141432301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258287 + ... + 258833.

Almost surely, 2141432320 is an apocalyptic number.

141432320 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 141432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171544824).

141432320 is an abundant number, since it is smaller than the sum of its proper divisors (201657328).

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

141432320 is an equidigital number, since it uses as much as digits as its factorization.

141432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 141432320 is about 11892.5321105305. The cubic root of 141432320 is about 521.0141942265.

Adding to 141432320 its reverse (23234141), we get a palindrome (164666461).

The spelling of 141432320 in words is "one hundred forty-one million, four hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 160 202 256 320 404 505 512 547 640 808 1010 1094 1280 1616 2020 2188 2560 2735 3232 4040 4376 5470 6464 8080 8752 10940 12928 16160 17504 21880 25856 32320 35008 43760 51712 55247 64640 70016 87520 110494 129280 140032 175040 220988 258560 276235 280064 350080 441976 552470 700160 883952 1104940 1400320 1767904 2209880 3535808 4419760 7071616 8839520 14143232 17679040 28286464 35358080 70716160 141432320