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145789380 = 2232511292539
BaseRepresentation
bin10001011000010…
…01000111000100
3101011022212102200
420230021013010
5244310230010
622244434500
73420121632
oct1054110704
9334285380
10145789380
11753267a0
12409a8a30
1324286509
1415510352
15cbebcc0
hex8b091c4

145789380 has 144 divisors (see below), whose sum is σ = 499262400. Its totient is φ = 34110720.

The previous prime is 145789313. The next prime is 145789381. The reversal of 145789380 is 83987541.

145789380 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (145789381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56151 + ... + 58689.

It is an arithmetic number, because the mean of its divisors is an integer number (3467100).

Almost surely, 2145789380 is an apocalyptic number.

145789380 is a gapful number since it is divisible by the number (10) 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 145789380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249631200).

145789380 is an abundant number, since it is smaller than the sum of its proper divisors (353473020).

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

145789380 is a wasteful number, since it uses less digits than its factorization.

145789380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 145789380 is about 12074.3273104550. The cubic root of 145789380 is about 526.3104135275.

The spelling of 145789380 in words is "one hundred forty-five million, seven hundred eighty-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 29 30 33 36 44 45 55 58 60 66 87 90 99 110 116 132 145 165 174 180 198 220 261 290 319 330 348 396 435 495 522 580 638 660 870 957 990 1044 1276 1305 1595 1740 1914 1980 2539 2610 2871 3190 3828 4785 5078 5220 5742 6380 7617 9570 10156 11484 12695 14355 15234 19140 22851 25390 27929 28710 30468 38085 45702 50780 55858 57420 73631 76170 83787 91404 111716 114255 139645 147262 152340 167574 220893 228510 251361 279290 294524 335148 368155 418935 441786 457020 502722 558580 662679 736310 809941 837870 883572 1005444 1104465 1256805 1325358 1472620 1619882 1675740 2208930 2429823 2513610 2650716 3239764 3313395 4049705 4417860 4859646 5027220 6626790 7289469 8099410 9719292 12149115 13253580 14578938 16198820 24298230 29157876 36447345 48596460 72894690 145789380