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142197120 = 2734513211
BaseRepresentation
bin10000111100111…
…00000110000000
3100220120100210000
420132130012000
5242400301440
622035440000
73344440602
oct1036340600
9326510700
10142197120
11732a288a
123b756000
13235c9410
1414c57172
15c73c730
hex879c180

142197120 has 320 divisors, whose sum is σ = 549465840. Its totient is φ = 34836480.

The previous prime is 142197103. The next prime is 142197127. The reversal of 142197120 is 21791241.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142197127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 673815 + ... + 674025.

Almost surely, 2142197120 is an apocalyptic number.

142197120 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 142197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274732920).

142197120 is an abundant number, since it is smaller than the sum of its proper divisors (407268720).

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

142197120 is a wasteful number, since it uses less digits than its factorization.

142197120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 142197120 is about 11924.6433908943. The cubic root of 142197120 is about 521.9516403872.

The spelling of 142197120 in words is "one hundred forty-two million, one hundred ninety-seven thousand, one hundred twenty".