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145010640 = 24351135347
BaseRepresentation
bin10001010010010…
…10111111010000
3101002212022012110
420221022333100
5244110320030
622220025320
73410366355
oct1051127720
9332768173
10145010640
1174944705
1240692240
1324072c18
141538a62c
15cae61b0
hex8a4afd0

145010640 has 80 divisors (see below), whose sum is σ = 453595968. Its totient is φ = 38320128.

The previous prime is 145010627. The next prime is 145010669. The reversal of 145010640 is 46010541.

145010640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 24447 + ... + 29793.

Almost surely, 2145010640 is an apocalyptic number.

145010640 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 145010640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226797984).

145010640 is an abundant number, since it is smaller than the sum of its proper divisors (308585328).

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

145010640 is a wasteful number, since it uses less digits than its factorization.

145010640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5476 (or 5470 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 145010640 is about 12042.0363726406. The cubic root of 145010640 is about 525.3716370902.

Subtracting from 145010640 its reverse (46010541), we obtain a palindrome (99000099).

It can be divided in two parts, 1450 and 10640, that added together give a triangular number (12090 = T155).

The spelling of 145010640 in words is "one hundred forty-five million, ten thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 113 120 226 240 339 452 565 678 904 1130 1356 1695 1808 2260 2712 3390 4520 5347 5424 6780 9040 10694 13560 16041 21388 26735 27120 32082 42776 53470 64164 80205 85552 106940 128328 160410 213880 256656 320820 427760 604211 641640 1208422 1283280 1812633 2416844 3021055 3625266 4833688 6042110 7250532 9063165 9667376 12084220 14501064 18126330 24168440 29002128 36252660 48336880 72505320 145010640