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145070112 = 25311178081
BaseRepresentation
bin10001010010110…
…01100000100000
3101002222022210010
420221121200200
5244114220422
622221204520
73411034635
oct1051314040
9332868703
10145070112
1174985360
1240700740
1324094005
14153a418c
15cb08b0c
hex8a59820

145070112 has 96 divisors (see below), whose sum is σ = 439919424. Its totient is φ = 41369600.

The previous prime is 145070083. The next prime is 145070113. The reversal of 145070112 is 211070541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (145070113) 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, 13912 + ... + 21992.

It is an arithmetic number, because the mean of its divisors is an integer number (4582494).

Almost surely, 2145070112 is an apocalyptic number.

145070112 is a gapful number since it is divisible by the number (12) 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 145070112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219959712).

145070112 is an abundant number, since it is smaller than the sum of its proper divisors (294849312).

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

145070112 is a wasteful number, since it uses less digits than its factorization.

145070112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8122 (or 8114 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 145070112 is about 12044.5054693001. The cubic root of 145070112 is about 525.4434493645.

The spelling of 145070112 in words is "one hundred forty-five million, seventy thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 132 136 176 187 204 264 272 352 374 408 528 544 561 748 816 1056 1122 1496 1632 2244 2992 4488 5984 8081 8976 16162 17952 24243 32324 48486 64648 88891 96972 129296 137377 177782 193944 258592 266673 274754 355564 387888 412131 533346 549508 711128 775776 824262 1066692 1099016 1422256 1511147 1648524 2133384 2198032 2844512 3022294 3297048 4266768 4396064 4533441 6044588 6594096 8533536 9066882 12089176 13188192 18133764 24178352 36267528 48356704 72535056 145070112