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145169460 = 223251747441
BaseRepresentation
bin10001010011100…
…01110000110100
3101010011101001200
420221301300310
5244130410320
622223252500
73411630402
oct1051616064
9333141050
10145169460
1174a42a67
124074a130
13240ca2b7
14153cc472
15cb28290
hex8a71c34

145169460 has 72 divisors (see below), whose sum is σ = 466259976. Its totient is φ = 36433920.

The previous prime is 145169459. The next prime is 145169461. The reversal of 145169460 is 64961541.

It is an interprime number because it is at equal distance from previous prime (145169459) and next prime (145169461).

It can be written as a sum of positive squares in 4 ways, for example, as 23155344 + 122014116 = 4812^2 + 11046^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145169461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20661 + ... + 26780.

It is an arithmetic number, because the mean of its divisors is an integer number (6475833).

Almost surely, 2145169460 is an apocalyptic number.

145169460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145169460 is an abundant number, since it is smaller than the sum of its proper divisors (321090516).

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

145169460 is a wasteful number, since it uses less digits than its factorization.

145169460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47473 (or 47468 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 145169460 is about 12048.6289676461. The cubic root of 145169460 is about 525.5633680328.

The spelling of 145169460 in words is "one hundred forty-five million, one hundred sixty-nine thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 47441 94882 142323 189764 237205 284646 426969 474410 569292 711615 806497 853938 948820 1423230 1612994 1707876 2134845 2419491 2846460 3225988 4032485 4269690 4838982 7258473 8064970 8539380 9677964 12097455 14516946 16129940 24194910 29033892 36292365 48389820 72584730 145169460