Search a number
-
+
145062576 = 2434173647
BaseRepresentation
bin10001010010101…
…11101010110000
3101002221221110000
420221113222300
5244114000301
622221110000
73411003651
oct1051275260
9332857400
10145062576
117497a72a
12406b8300
1324090759
14153a1528
15cb06786
hex8a57ab0

145062576 has 100 divisors (see below), whose sum is σ = 422932752. Its totient is φ = 48000384.

The previous prime is 145062559. The next prime is 145062583. The reversal of 145062576 is 675260541.

It is a happy number.

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

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 145062576.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 223885 + ... + 224531.

Almost surely, 2145062576 is an apocalyptic number.

145062576 is a gapful number since it is divisible by the number (16) 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 145062576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211466376).

145062576 is an abundant number, since it is smaller than the sum of its proper divisors (277870176).

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

145062576 is a wasteful number, since it uses less digits than its factorization.

145062576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 145062576 is about 12044.1926254938. The cubic root of 145062576 is about 525.4343507515.

The spelling of 145062576 in words is "one hundred forty-five million, sixty-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 173 216 324 346 432 519 647 648 692 1038 1294 1296 1384 1557 1941 2076 2588 2768 3114 3882 4152 4671 5176 5823 6228 7764 8304 9342 10352 11646 12456 14013 15528 17469 18684 23292 24912 28026 31056 34938 37368 46584 52407 56052 69876 74736 93168 104814 111931 112104 139752 209628 223862 224208 279504 335793 419256 447724 671586 838512 895448 1007379 1343172 1790896 2014758 2686344 3022137 4029516 5372688 6044274 8059032 9066411 12088548 16118064 18132822 24177096 36265644 48354192 72531288 145062576