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145069008 = 24372371667
BaseRepresentation
bin10001010010110…
…01001111010000
3101002222021021020
420221121033100
5244114202013
622221155440
73411031500
oct1051311720
9332867236
10145069008
1174984547
12406bbb80
1324093666
14153a3a00
15cb08623
hex8a593d0

145069008 has 120 divisors (see below), whose sum is σ = 447998112. Its totient is φ = 40303872.

The previous prime is 145068941. The next prime is 145069033. The reversal of 145069008 is 800960541.

It is a self number, because there is not a number n which added to its sum of digits gives 145069008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86191 + ... + 87857.

Almost surely, 2145069008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145069008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223999056).

145069008 is an abundant number, since it is smaller than the sum of its proper divisors (302929104).

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

145069008 is a wasteful number, since it uses less digits than its factorization.

145069008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 145069008 is about 12044.4596391868. The cubic root of 145069008 is about 525.4421164663.

The spelling of 145069008 in words is "one hundred forty-five million, sixty-nine thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 49 56 74 84 98 111 112 147 148 168 196 222 259 294 296 336 392 444 518 588 592 777 784 888 1036 1176 1554 1667 1776 1813 2072 2352 3108 3334 3626 4144 5001 5439 6216 6668 7252 10002 10878 11669 12432 13336 14504 20004 21756 23338 26672 29008 35007 40008 43512 46676 61679 70014 80016 81683 87024 93352 123358 140028 163366 185037 186704 245049 246716 280056 326732 370074 431753 490098 493432 560112 653464 740148 863506 980196 986864 1295259 1306928 1480296 1727012 1960392 2590518 2960592 3022271 3454024 3920784 5181036 6044542 6908048 9066813 10362072 12089084 18133626 20724144 24178168 36267252 48356336 72534504 145069008