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145110672 = 24327359401
BaseRepresentation
bin10001010011000…
…11011010010000
3101010001101102100
420221203122100
5244122020142
622222120400
73411264120
oct1051433220
9333041370
10145110672
1174a02883
1240720100
13240a9605
14153b4c80
15cb15b4c
hex8a63690

145110672 has 120 divisors (see below), whose sum is σ = 466577280. Its totient is φ = 41241600.

The previous prime is 145110649. The next prime is 145110689. The reversal of 145110672 is 276011541.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 361672 + ... + 362072.

It is an arithmetic number, because the mean of its divisors is an integer number (3888144).

Almost surely, 2145110672 is an apocalyptic number.

145110672 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 145110672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233288640).

145110672 is an abundant number, since it is smaller than the sum of its proper divisors (321466608).

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

145110672 is a wasteful number, since it uses less digits than its factorization.

145110672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 145110672 is about 12046.1891069334. The cubic root of 145110672 is about 525.4924141951.

The spelling of 145110672 in words is "one hundred forty-five million, one hundred ten thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 359 401 504 718 802 1008 1077 1203 1436 1604 2154 2406 2513 2807 2872 3208 3231 3609 4308 4812 5026 5614 5744 6416 6462 7218 7539 8421 8616 9624 10052 11228 12924 14436 15078 16842 17232 19248 20104 22456 22617 25263 25848 28872 30156 33684 40208 44912 45234 50526 51696 57744 60312 67368 90468 101052 120624 134736 143959 180936 202104 287918 361872 404208 431877 575836 863754 1007713 1151672 1295631 1727508 2015426 2303344 2591262 3023139 3455016 4030852 5182524 6046278 6910032 8061704 9069417 10365048 12092556 16123408 18138834 20730096 24185112 36277668 48370224 72555336 145110672