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146668860 = 2233513171229
BaseRepresentation
bin10001011110111…
…11110100111100
3101012222112212000
420233133310330
5300021400420
622315342300
73430444002
oct1057376474
9335875760
10146668860
1175877538
1241151990
1324503910
141569ca72
15cd22690
hex8bdfd3c

146668860 has 192 divisors, whose sum is σ = 520732800. Its totient is φ = 33951744.

The previous prime is 146668853. The next prime is 146668891. The reversal of 146668860 is 68866641.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118726 + ... + 119954.

It is an arithmetic number, because the mean of its divisors is an integer number (2712150).

Almost surely, 2146668860 is an apocalyptic number.

146668860 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 146668860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260366400).

146668860 is an abundant number, since it is smaller than the sum of its proper divisors (374063940).

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

146668860 is a wasteful number, since it uses less digits than its factorization.

146668860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 146668860 is about 12110.6919703211. The cubic root of 146668860 is about 527.3666217142.

The spelling of 146668860 in words is "one hundred forty-six million, six hundred sixty-eight thousand, eight hundred sixty".