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145010440 = 23529413049
BaseRepresentation
bin10001010010010…
…10111100001000
3101002212021221001
420221022330020
5244110313230
622220024344
73410365651
oct1051127410
9332767831
10145010440
1174944543
12406920b4
1324072ac3
141538a528
15cae60ca
hex8a4af08

145010440 has 64 divisors (see below), whose sum is σ = 345870000. Its totient is φ = 54620160.

The previous prime is 145010431. The next prime is 145010443. The reversal of 145010440 is 44010541.

145010440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6853924 + 138156516 = 2618^2 + 11754^2 .

It is not an unprimeable number, because it can be changed into a prime (145010443) 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 15 ways as a sum of consecutive naturals, for example, 46036 + ... + 49084.

Almost surely, 2145010440 is an apocalyptic number.

145010440 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 145010440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172935000).

145010440 is an abundant number, since it is smaller than the sum of its proper divisors (200859560).

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

145010440 is a wasteful number, since it uses less digits than its factorization.

145010440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 145010440 is about 12042.0280683945. The cubic root of 145010440 is about 525.3713955576.

Adding to 145010440 its reverse (44010541), we get a palindrome (189020981).

The spelling of 145010440 in words is "one hundred forty-five million, ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 41 58 82 116 145 164 205 232 290 328 410 580 820 1160 1189 1640 2378 3049 4756 5945 6098 9512 11890 12196 15245 23780 24392 30490 47560 60980 88421 121960 125009 176842 250018 353684 442105 500036 625045 707368 884210 1000072 1250090 1768420 2500180 3536840 3625261 5000360 7250522 14501044 18126305 29002088 36252610 72505220 145010440