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145421568 = 28347013
BaseRepresentation
bin10001010101011…
…11010100000000
3101010122011220000
420222233110000
5244211442233
622232520000
73414030405
oct1052572400
9333564800
10145421568
11750a5416
1240850000
1324187c86
14154562ac
15cb77d13
hex8aaf500

145421568 has 90 divisors (see below), whose sum is σ = 433682634. Its totient is φ = 48466944.

The previous prime is 145421567. The next prime is 145421579. The reversal of 145421568 is 865124541.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 139428864 + 5992704 = 11808^2 + 2448^2 .

It is a super-2 number, since 2×1454215682 = 42294864879157248, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145421567) 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 9 ways as a sum of consecutive naturals, for example, 17230 + ... + 24242.

Almost surely, 2145421568 is an apocalyptic number.

145421568 is a gapful number since it is divisible by the number (18) 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 145421568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216841317).

145421568 is an abundant number, since it is smaller than the sum of its proper divisors (288261066).

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

145421568 is an frugal number, since it uses more digits than its factorization.

145421568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7041 (or 7018 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 145421568 is about 12059.0865325695. The cubic root of 145421568 is about 525.8674313033.

It can be divided in two parts, 14542 and 1568, that added together give a triangular number (16110 = T179).

The spelling of 145421568 in words is "one hundred forty-five million, four hundred twenty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 7013 10368 14026 20736 21039 28052 42078 56104 63117 84156 112208 126234 168312 189351 224416 252468 336624 378702 448832 504936 568053 673248 757404 897664 1009872 1136106 1346496 1514808 1795328 2019744 2272212 2692992 3029616 4039488 4544424 5385984 6059232 8078976 9088848 12118464 16157952 18177696 24236928 36355392 48473856 72710784 145421568