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147424520 = 23541241373
BaseRepresentation
bin10001100100110…
…00010100001000
3101021101221102102
420302120110020
5300220041040
622343452532
73440042045
oct1062302410
9337357372
10147424520
1176243251
1241457148
1324709859
14158181cc
15ce21515
hex8c98508

147424520 has 64 divisors (see below), whose sum is σ = 342120240. Its totient is φ = 57139200.

The previous prime is 147424513. The next prime is 147424523. The reversal of 147424520 is 25424741.

It can be written as a sum of positive squares in 8 ways, for example, as 45131524 + 102292996 = 6718^2 + 10114^2 .

It is not an unprimeable number, because it can be changed into a prime (147424523) 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, 395054 + ... + 395426.

Almost surely, 2147424520 is an apocalyptic number.

147424520 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 147424520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171060120).

147424520 is an abundant number, since it is smaller than the sum of its proper divisors (194695720).

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

147424520 is a wasteful number, since it uses less digits than its factorization.

147424520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 29.

The square root of 147424520 is about 12141.8499414216. The cubic root of 147424520 is about 528.2707614190.

It can be divided in two parts, 1474245 and 20, that multiplied together give a square (29484900 = 54302).

The spelling of 147424520 in words is "one hundred forty-seven million, four hundred twenty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 241 328 373 410 482 746 820 964 1205 1492 1640 1865 1928 2410 2984 3730 4820 7460 9640 9881 14920 15293 19762 30586 39524 49405 61172 76465 79048 89893 98810 122344 152930 179786 197620 305860 359572 395240 449465 611720 719144 898930 1797860 3595720 3685613 7371226 14742452 18428065 29484904 36856130 73712260 147424520