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145024040 = 23571573299
BaseRepresentation
bin10001010010011…
…10010000101000
3101002212222120202
420221032100220
5244111232130
622220211332
73410453420
oct1051162050
9332788522
10145024040
1174953787
1240699b48
1324079055
1415391480
15caea145
hex8a4e428

145024040 has 64 divisors (see below), whose sum is σ = 375408000. Its totient is φ = 49390848.

The previous prime is 145024003. The next prime is 145024043. The reversal of 145024040 is 40420541.

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

It is not an unprimeable number, because it can be changed into a prime (145024043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42311 + ... + 45609.

It is an arithmetic number, because the mean of its divisors is an integer number (5865750).

Almost surely, 2145024040 is an apocalyptic number.

145024040 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 145024040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187704000).

145024040 is an abundant number, since it is smaller than the sum of its proper divisors (230383960).

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

145024040 is a wasteful number, since it uses less digits than its factorization.

145024040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3474 (or 3470 counting only the distinct ones).

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

The square root of 145024040 is about 12042.5927440896. The cubic root of 145024040 is about 525.3878192662.

Adding to 145024040 its reverse (40420541), we get a palindrome (185444581).

The spelling of 145024040 in words is "one hundred forty-five million, twenty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 157 280 314 628 785 1099 1256 1570 2198 3140 3299 4396 5495 6280 6598 8792 10990 13196 16495 21980 23093 26392 32990 43960 46186 65980 92372 115465 131960 184744 230930 461860 517943 923720 1035886 2071772 2589715 3625601 4143544 5179430 7251202 10358860 14502404 18128005 20717720 29004808 36256010 72512020 145024040