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146470080 = 2635271563
BaseRepresentation
bin10001011101011…
…11010011000000
3101012121110011210
420232233103000
5244444020310
622311210120
73425655321
oct1056572300
9335543153
10146470080
1175751159
1241076940
13244642b3
141564a448
15ccd3820
hex8baf4c0

146470080 has 112 divisors (see below), whose sum is σ = 467587584. Its totient is φ = 38845440.

The previous prime is 146470063. The next prime is 146470109. The reversal of 146470080 is 80074641.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 259879 + ... + 260441.

Almost surely, 2146470080 is an apocalyptic number.

146470080 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 146470080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233793792).

146470080 is an abundant number, since it is smaller than the sum of its proper divisors (321117504).

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

146470080 is a wasteful number, since it uses less digits than its factorization.

146470080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 146470080 is about 12102.4823899893. The cubic root of 146470080 is about 527.1282677074.

The spelling of 146470080 in words is "one hundred forty-six million, four hundred seventy thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 271 320 480 542 563 813 960 1084 1126 1355 1626 1689 2168 2252 2710 2815 3252 3378 4065 4336 4504 5420 5630 6504 6756 8130 8445 8672 9008 10840 11260 13008 13512 16260 16890 17344 18016 21680 22520 26016 27024 32520 33780 36032 43360 45040 52032 54048 65040 67560 86720 90080 108096 130080 135120 152573 180160 260160 270240 305146 457719 540480 610292 762865 915438 1220584 1525730 1830876 2288595 2441168 3051460 3661752 4577190 4882336 6102920 7323504 9154380 9764672 12205840 14647008 18308760 24411680 29294016 36617520 48823360 73235040 146470080