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145212704 = 25713471061
BaseRepresentation
bin10001010011111…
…00010100100000
3101010020120101022
420221330110200
5244133301304
622224225012
73412200440
oct1051742440
9333216338
10145212704
1174a724aa
124076b168
1324113ba0
1415400120
15cb35ebe
hex8a7c520

145212704 has 96 divisors (see below), whose sum is σ = 359686656. Its totient is φ = 56171520.

The previous prime is 145212671. The next prime is 145212719. The reversal of 145212704 is 407212541.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 136334 + ... + 137394.

It is an arithmetic number, because the mean of its divisors is an integer number (3746736).

Almost surely, 2145212704 is an apocalyptic number.

145212704 is a gapful number since it is divisible by the number (14) 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 145212704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179843328).

145212704 is an abundant number, since it is smaller than the sum of its proper divisors (214473952).

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

145212704 is a wasteful number, since it uses less digits than its factorization.

145212704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 145212704 is about 12050.4233950513. The cubic root of 145212704 is about 525.6155489023.

The spelling of 145212704 in words is "one hundred forty-five million, two hundred twelve thousand, seven hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 47 52 56 91 94 104 112 182 188 208 224 329 364 376 416 611 658 728 752 1061 1222 1316 1456 1504 2122 2444 2632 2912 4244 4277 4888 5264 7427 8488 8554 9776 10528 13793 14854 16976 17108 19552 27586 29708 33952 34216 49867 55172 59416 68432 96551 99734 110344 118832 136864 193102 199468 220688 237664 349069 386204 398936 441376 648271 698138 772408 797872 1296542 1396276 1544816 1595744 2593084 2792552 3089632 4537897 5186168 5585104 9075794 10372336 11170208 18151588 20744672 36303176 72606352 145212704