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145231240 = 23571161773
BaseRepresentation
bin10001010100000…
…00110110001000
3101010021111210211
420222000312020
5244134344430
622224450504
73412305460
oct1052006610
9333244724
10145231240
1174a85420
1240779a34
132411c45b
1415406ba0
15cb3b72a
hex8a80d88

145231240 has 128 divisors (see below), whose sum is σ = 414616320. Its totient is φ = 44467200.

The previous prime is 145231211. The next prime is 145231241. The reversal of 145231240 is 42132541.

It is a super-2 number, since 2×1452312402 = 42184226143875200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (145231241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187494 + ... + 188266.

It is an arithmetic number, because the mean of its divisors is an integer number (3239190).

Almost surely, 2145231240 is an apocalyptic number.

145231240 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 145231240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207308160).

145231240 is an abundant number, since it is smaller than the sum of its proper divisors (269385080).

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

145231240 is a wasteful number, since it uses less digits than its factorization.

145231240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 145231240 is about 12051.1924721166. The cubic root of 145231240 is about 525.6379124077.

Adding to 145231240 its reverse (42132541), we get a palindrome (187363781).

The spelling of 145231240 in words is "one hundred forty-five million, two hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 61 70 77 88 110 122 140 154 220 244 280 305 308 385 427 440 488 610 616 671 770 773 854 1220 1342 1540 1546 1708 2135 2440 2684 3080 3092 3355 3416 3865 4270 4697 5368 5411 6184 6710 7730 8503 8540 9394 10822 13420 15460 17006 17080 18788 21644 23485 26840 27055 30920 34012 37576 42515 43288 46970 47153 54110 59521 68024 85030 93940 94306 108220 119042 170060 187880 188612 216440 235765 238084 297605 330071 340120 377224 471530 476168 518683 595210 660142 943060 1037366 1190420 1320284 1650355 1886120 2074732 2380840 2593415 2640568 3300710 3630781 4149464 5186830 6601420 7261562 10373660 13202840 14523124 18153905 20747320 29046248 36307810 72615620 145231240