Search a number
-
+
145360710 = 233511172879
BaseRepresentation
bin10001010101000…
…00011101000110
3101010112002102000
420222200131012
5244203020320
622231330130
73413355105
oct1052403506
9333462360
10145360710
1175063720
1240820946
1324166371
141543c03c
15cb64c90
hex8aa0746

145360710 has 128 divisors (see below), whose sum is σ = 447897600. Its totient is φ = 33154560.

The previous prime is 145360687. The next prime is 145360717. The reversal of 145360710 is 17063541.

145360710 is a `hidden beast` number, since 1 + 4 + 53 + 607 + 1 + 0 = 666.

It is a super-2 number, since 2×1453607102 = 42259472023408200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145360717) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 49051 + ... + 51929.

It is an arithmetic number, because the mean of its divisors is an integer number (3499200).

Almost surely, 2145360710 is an apocalyptic number.

145360710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145360710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223948800).

145360710 is an abundant number, since it is smaller than the sum of its proper divisors (302536890).

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

145360710 is a wasteful number, since it uses less digits than its factorization.

145360710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2923 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 145360710 is about 12056.5629430613. The cubic root of 145360710 is about 525.7940636775.

It can be divided in two parts, 145360 and 710, that added together give a triangular number (146070 = T540).

The spelling of 145360710 in words is "one hundred forty-five million, three hundred sixty thousand, seven hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 27 30 33 34 45 51 54 55 66 85 90 99 102 110 135 153 165 170 187 198 255 270 297 306 330 374 459 495 510 561 594 765 918 935 990 1122 1485 1530 1683 1870 2295 2805 2879 2970 3366 4590 5049 5610 5758 8415 8637 10098 14395 16830 17274 25245 25911 28790 31669 43185 48943 50490 51822 63338 77733 86370 95007 97886 129555 146829 155466 158345 190014 244715 259110 285021 293658 316690 388665 440487 475035 489430 538373 570042 734145 777330 855063 880974 950070 1076746 1321461 1425105 1468290 1615119 1710126 2202435 2642922 2691865 2850210 3230238 4275315 4404870 4845357 5383730 6607305 8075595 8550630 9690714 13214610 14536071 16151190 24226785 29072142 48453570 72680355 145360710