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147111040 = 275534337
BaseRepresentation
bin10001100010010…
…11110010000000
3101020211000102001
420301023302000
5300130023130
622333033344
73434265106
oct1061136200
9336730361
10147111040
117604977a
1241325854
1324629c6b
1415775c76
15cdad6ca
hex8c4bc80

147111040 has 64 divisors (see below), whose sum is σ = 358405560. Its totient is φ = 57720832.

The previous prime is 147111017. The next prime is 147111043. The reversal of 147111040 is 40111741.

It can be written as a sum of positive squares in 4 ways, for example, as 87759424 + 59351616 = 9368^2 + 7704^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 147110999 and 147111017.

It is not an unprimeable number, because it can be changed into a prime (147111043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31752 + ... + 36088.

Almost surely, 2147111040 is an apocalyptic number.

147111040 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 147111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179202780).

147111040 is an abundant number, since it is smaller than the sum of its proper divisors (211294520).

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

147111040 is an equidigital number, since it uses as much as digits as its factorization.

147111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4409 (or 4397 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 147111040 is about 12128.9340009747. The cubic root of 147111040 is about 527.8960615732.

Adding to 147111040 its reverse (40111741), we get a palindrome (187222781).

It can be divided in two parts, 14711 and 1040, that added together give a palindrome (15751).

The spelling of 147111040 in words is "one hundred forty-seven million, one hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 265 320 424 530 640 848 1060 1696 2120 3392 4240 4337 6784 8480 8674 16960 17348 21685 33920 34696 43370 69392 86740 138784 173480 229861 277568 346960 459722 555136 693920 919444 1149305 1387840 1838888 2298610 2775680 3677776 4597220 7355552 9194440 14711104 18388880 29422208 36777760 73555520 147111040