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146092140 = 223351929491
BaseRepresentation
bin10001011010100…
…11000001101100
3101011220020202000
420231103001230
5244344422030
622255132300
73422522415
oct1055230154
9334806660
10146092140
1175513207
1240b14090
132436126c
141558c80c
15cc5b860
hex8b5306c

146092140 has 192 divisors, whose sum is σ = 495936000. Its totient is φ = 35562240.

The previous prime is 146092139. The next prime is 146092147. The reversal of 146092140 is 41290641.

146092140 is a `hidden beast` number, since 14 + 609 + 2 + 1 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (146092147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 297295 + ... + 297785.

It is an arithmetic number, because the mean of its divisors is an integer number (2583000).

Almost surely, 2146092140 is an apocalyptic number.

146092140 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 146092140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247968000).

146092140 is an abundant number, since it is smaller than the sum of its proper divisors (349843860).

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

146092140 is a wasteful number, since it uses less digits than its factorization.

146092140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 146092140 is about 12086.8581525556. The cubic root of 146092140 is about 526.6744902610.

The spelling of 146092140 in words is "one hundred forty-six million, ninety-two thousand, one hundred forty".