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154515140 = 225135311213
BaseRepresentation
bin10010011010110…
…11011011000100
3101202202011220222
421031123123010
5304023441030
623155443512
73554233313
oct1115333304
9352664828
10154515140
117a24656a
12438b6598
13260200a0
141674227a
15d8723e5
hex935b6c4

154515140 has 48 divisors (see below), whose sum is σ = 356066928. Its totient is φ = 55970304.

The previous prime is 154515133. The next prime is 154515143. The reversal of 154515140 is 41515451.

154515140 = T295 + T296 + ... + T983.

154515140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 28536964 + 125978176 = 5342^2 + 11224^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (154515143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8174 + ... + 19386.

It is an arithmetic number, because the mean of its divisors is an integer number (7418061).

Almost surely, 2154515140 is an apocalyptic number.

154515140 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 154515140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178033464).

154515140 is an abundant number, since it is smaller than the sum of its proper divisors (201551788).

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

154515140 is a wasteful number, since it uses less digits than its factorization.

154515140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11288 (or 11286 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 26.

The square root of 154515140 is about 12430.4118998527. The cubic root of 154515140 is about 536.6078396141.

The spelling of 154515140 in words is "one hundred fifty-four million, five hundred fifteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 106 130 212 260 265 530 689 1060 1378 2756 3445 6890 11213 13780 22426 44852 56065 112130 145769 224260 291538 583076 594289 728845 1188578 1457690 2377156 2915380 2971445 5942890 7725757 11885780 15451514 30903028 38628785 77257570 154515140