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145091628 = 223311122131
BaseRepresentation
bin10001010010111…
…10110000101100
3101010000102022000
420221132300230
5244120413003
622221452300
73411154443
oct1051366054
9333012260
10145091628
117499a540
1240711090
13240a0a46
14153abd5a
15cb101a3
hex8a5ec2c

145091628 has 48 divisors (see below), whose sum is σ = 410363520. Its totient is φ = 43966800.

The previous prime is 145091623. The next prime is 145091633. The reversal of 145091628 is 826190541.

It is an interprime number because it is at equal distance from previous prime (145091623) and next prime (145091633).

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

It is a junction number, because it is equal to n+sod(n) for n = 145091592 and 145091601.

It is not an unprimeable number, because it can be changed into a prime (145091621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59878 + ... + 62253.

It is an arithmetic number, because the mean of its divisors is an integer number (8549240).

Almost surely, 2145091628 is an apocalyptic number.

145091628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

145091628 is an abundant number, since it is smaller than the sum of its proper divisors (265271892).

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

145091628 is a wasteful number, since it uses less digits than its factorization.

145091628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122155 (or 122147 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 145091628 is about 12045.3986235409. The cubic root of 145091628 is about 525.4694250398.

The spelling of 145091628 in words is "one hundred forty-five million, ninety-one thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 122131 244262 366393 488524 732786 1099179 1343441 1465572 2198358 2686882 3297537 4030323 4396716 5373764 6595074 8060646 12090969 13190148 16121292 24181938 36272907 48363876 72545814 145091628