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145240040 = 23511418397
BaseRepresentation
bin10001010100000…
…10111111101000
3101010021221212202
420222002333220
5244140140130
622224555332
73412343231
oct1052027750
9333257782
10145240040
1174a90aa0
1240782b48
132412346a
141540a088
15cb3e145
hex8a82fe8

145240040 has 128 divisors (see below), whose sum is σ = 373403520. Its totient is φ = 50380800.

The previous prime is 145240037. The next prime is 145240049. The reversal of 145240040 is 40042541.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 145239994 and 145240021.

It is not an unprimeable number, because it can be changed into a prime (145240049) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1497272 + ... + 1497368.

It is an arithmetic number, because the mean of its divisors is an integer number (2917215).

Almost surely, 2145240040 is an apocalyptic number.

145240040 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 145240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186701760).

145240040 is an abundant number, since it is smaller than the sum of its proper divisors (228163480).

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

145240040 is a wasteful number, since it uses less digits than its factorization.

145240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 145240040 is about 12051.5575756829. The cubic root of 145240040 is about 525.6485288568.

Adding to 145240040 its reverse (40042541), we get a palindrome (185282581).

The spelling of 145240040 in words is "one hundred forty-five million, two hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 83 88 97 110 164 166 194 205 220 328 332 388 410 415 440 451 485 664 776 820 830 902 913 970 1067 1640 1660 1804 1826 1940 2134 2255 3320 3403 3608 3652 3880 3977 4268 4510 4565 5335 6806 7304 7954 8051 8536 9020 9130 10670 13612 15908 16102 17015 18040 18260 19885 21340 27224 31816 32204 34030 36520 37433 39770 40255 42680 43747 64408 68060 74866 79540 80510 87494 88561 136120 149732 159080 161020 174988 177122 187165 218735 299464 322040 330091 349976 354244 374330 437470 442805 660182 708488 748660 874940 885610 1320364 1497320 1650455 1749880 1771220 2640728 3300910 3542440 3631001 6601820 7262002 13203640 14524004 18155005 29048008 36310010 72620020 145240040