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145990656 = 2103273173
BaseRepresentation
bin10001011001110…
…10010000000000
3101011201002112100
420230322100000
5244333200111
622253030400
73421620510
oct1054722000
9334632470
10145990656
1175453a39
1240a85400
1324327006
1415563840
15cc3b756
hex8b3a400

145990656 has 264 divisors, whose sum is σ = 504118784. Its totient is φ = 39813120.

The previous prime is 145990651. The next prime is 145990667. The reversal of 145990656 is 656099541.

It is a happy number.

145990656 is a `hidden beast` number, since 1 + 4 + 599 + 0 + 6 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145990651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1999836 + ... + 1999908.

Almost surely, 2145990656 is an apocalyptic number.

145990656 is a gapful number since it is divisible by the number (16) 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 145990656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252059392).

145990656 is an abundant number, since it is smaller than the sum of its proper divisors (358128128).

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

145990656 is a wasteful number, since it uses less digits than its factorization.

145990656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 145990656 is about 12082.6593099367. The cubic root of 145990656 is about 526.5525092176.

The spelling of 145990656 in words is "one hundred forty-five million, nine hundred ninety thousand, six hundred fifty-six".