Search a number
-
+
145217490 = 235114110733
BaseRepresentation
bin10001010011111…
…01011111010010
3101010020210221120
420221331133102
5244133424430
622224303110
73412220415
oct1051753722
9333223846
10145217490
1174a76060
1240771a96
1324116112
1415401b7c
15cb37610
hex8a7d7d2

145217490 has 64 divisors (see below), whose sum is σ = 389515392. Its totient is φ = 34342400.

The previous prime is 145217477. The next prime is 145217503. The reversal of 145217490 is 94712541.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (145217477) and next prime (145217503).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8164 + ... + 18896.

It is an arithmetic number, because the mean of its divisors is an integer number (6086178).

Almost surely, 2145217490 is an apocalyptic number.

145217490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145217490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194757696).

145217490 is an abundant number, since it is smaller than the sum of its proper divisors (244297902).

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

145217490 is a wasteful number, since it uses less digits than its factorization.

145217490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10795.

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 145217490 is about 12050.6219756492. The cubic root of 145217490 is about 525.6213233474.

The spelling of 145217490 in words is "one hundred forty-five million, two hundred seventeen thousand, four hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 41 55 66 82 110 123 165 205 246 330 410 451 615 902 1230 1353 2255 2706 4510 6765 10733 13530 21466 32199 53665 64398 107330 118063 160995 236126 321990 354189 440053 590315 708378 880106 1180630 1320159 1770945 2200265 2640318 3541890 4400530 4840583 6600795 9681166 13201590 14521749 24202915 29043498 48405830 72608745 145217490