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145794012 = 223721319073
BaseRepresentation
bin10001011000010…
…10001111011100
3101011100002210020
420230022033130
5244310402022
622244512140
73420141300
oct1054121734
9334302706
10145794012
117532a221
12409ab650
1324288660
1415511d00
15cbed35c
hex8b0a3dc

145794012 has 72 divisors (see below), whose sum is σ = 426189456. Its totient is φ = 38449152.

The previous prime is 145793971. The next prime is 145794013. The reversal of 145794012 is 210497541.

It is a happy number.

It is a super-2 number, since 2×1457940122 = 42511787870112288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145794013) 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 23 ways as a sum of consecutive naturals, for example, 1893 + ... + 17180.

It is an arithmetic number, because the mean of its divisors is an integer number (5919298).

Almost surely, 2145794012 is an apocalyptic number.

145794012 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 145794012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213094728).

145794012 is an abundant number, since it is smaller than the sum of its proper divisors (280395444).

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

145794012 is a wasteful number, since it uses less digits than its factorization.

145794012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19107 (or 19098 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 145794012 is about 12074.5191208594. The cubic root of 145794012 is about 526.3159874224.

The spelling of 145794012 in words is "one hundred forty-five million, seven hundred ninety-four thousand, twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2548 3822 7644 19073 38146 57219 76292 114438 133511 228876 247949 267022 400533 495898 534044 743847 801066 934577 991796 1487694 1602132 1735643 1869154 2803731 2975388 3471286 3738308 5206929 5607462 6942572 10413858 11214924 12149501 20827716 24299002 36448503 48598004 72897006 145794012