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146744070 = 23511676637
BaseRepresentation
bin10001011111100…
…10001100000110
3101020010101000120
420233302030012
5300031302240
622321122410
73431206164
oct1057621406
9336111016
10146744070
1175918aa0
1241189406
132452bc15
14156bc234
15cd39ad0
hex8bf2306

146744070 has 64 divisors (see below), whose sum is σ = 389995776. Its totient is φ = 35038080.

The previous prime is 146744063. The next prime is 146744077. The reversal of 146744070 is 70447641.

It is an interprime number because it is at equal distance from previous prime (146744063) and next prime (146744077).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146744077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18792 + ... + 25428.

It is an arithmetic number, because the mean of its divisors is an integer number (6093684).

Almost surely, 2146744070 is an apocalyptic number.

146744070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146744070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194997888).

146744070 is an abundant number, since it is smaller than the sum of its proper divisors (243251706).

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

146744070 is a wasteful number, since it uses less digits than its factorization.

146744070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6725.

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 146744070 is about 12113.7966798193. The cubic root of 146744070 is about 527.4567486981.

The spelling of 146744070 in words is "one hundred forty-six million, seven hundred forty-four thousand, seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 67 110 134 165 201 330 335 402 670 737 1005 1474 2010 2211 3685 4422 6637 7370 11055 13274 19911 22110 33185 39822 66370 73007 99555 146014 199110 219021 365035 438042 444679 730070 889358 1095105 1334037 2190210 2223395 2668074 4446790 4891469 6670185 9782938 13340370 14674407 24457345 29348814 48914690 73372035 146744070