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147132040 = 235111272633
BaseRepresentation
bin10001100010100…
…00111010001000
3101020212002012211
420301100322020
5300131211130
622333314504
73434413246
oct1061207210
9336762184
10147132040
1176063530
1241335a34
13246366a3
141577d796
15cdb4a2a
hex8c50e88

147132040 has 64 divisors (see below), whose sum is σ = 364124160. Its totient is φ = 53061120.

The previous prime is 147132023. The next prime is 147132071. The reversal of 147132040 is 40231741.

147132040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54564 + ... + 57196.

It is an arithmetic number, because the mean of its divisors is an integer number (5689440).

Almost surely, 2147132040 is an apocalyptic number.

147132040 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 147132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182062080).

147132040 is an abundant number, since it is smaller than the sum of its proper divisors (216992120).

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

147132040 is a wasteful number, since it uses less digits than its factorization.

147132040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 147132040 is about 12129.7996685848. The cubic root of 147132040 is about 527.9211793115.

Adding to 147132040 its reverse (40231741), we get a palindrome (187363781).

The spelling of 147132040 in words is "one hundred forty-seven million, one hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 127 220 254 440 508 635 1016 1270 1397 2540 2633 2794 5080 5266 5588 6985 10532 11176 13165 13970 21064 26330 27940 28963 52660 55880 57926 105320 115852 144815 231704 289630 334391 579260 668782 1158520 1337564 1671955 2675128 3343910 3678301 6687820 7356602 13375640 14713204 18391505 29426408 36783010 73566020 147132040