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146806740 = 22325823991
BaseRepresentation
bin10001100000000…
…01011111010100
3101020020112222200
420300001133110
5300040303430
622322324500
73431556663
oct1060013724
9336215880
10146806740
1175961093
12411b9730
13245515c2
14156d6dda
15cd4d460
hex8c017d4

146806740 has 72 divisors (see below), whose sum is σ = 446304768. Its totient is φ = 39061440.

The previous prime is 146806733. The next prime is 146806741. The reversal of 146806740 is 47608641.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 146806695 and 146806704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146806741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147645 + ... + 148635.

Almost surely, 2146806740 is an apocalyptic number.

146806740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146806740 is an abundant number, since it is smaller than the sum of its proper divisors (299498028).

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

146806740 is a wasteful number, since it uses less digits than its factorization.

146806740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 146806740 is about 12116.3831236884. The cubic root of 146806740 is about 527.5318250080.

The spelling of 146806740 in words is "one hundred forty-six million, eight hundred six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 823 991 1646 1982 2469 2973 3292 3964 4115 4938 4955 5946 7407 8230 8919 9876 9910 11892 12345 14814 14865 16460 17838 19820 24690 29628 29730 35676 37035 44595 49380 59460 74070 89190 148140 178380 815593 1631186 2446779 3262372 4077965 4893558 7340337 8155930 9787116 12233895 14680674 16311860 24467790 29361348 36701685 48935580 73403370 146806740