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145215408 = 24313317507
BaseRepresentation
bin10001010011111…
…00111110110000
3101010020201002110
420221330332300
5244133343113
622224245320
73412211352
oct1051747660
9333221073
10145215408
1174a74538
1240770840
13241151a0
14154010d2
15cb36bc3
hex8a7cfb0

145215408 has 80 divisors (see below), whose sum is σ = 417084416. Its totient is φ = 43234560.

The previous prime is 145215403. The next prime is 145215419. The reversal of 145215408 is 804512541.

It is not an unprimeable number, because it can be changed into a prime (145215401) 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, 15591 + ... + 23097.

Almost surely, 2145215408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145215408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208542208).

145215408 is an abundant number, since it is smaller than the sum of its proper divisors (271869008).

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

145215408 is a wasteful number, since it uses less digits than its factorization.

145215408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7562 (or 7556 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 145215408 is about 12050.5355897570. The cubic root of 145215408 is about 525.6188113708.

Adding to 145215408 its reverse (804512541), we get a palindrome (949727949).

The spelling of 145215408 in words is "one hundred forty-five million, two hundred fifteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 744 806 1209 1488 1612 2418 3224 4836 6448 7507 9672 15014 19344 22521 30028 45042 60056 90084 97591 120112 180168 195182 232717 292773 360336 390364 465434 585546 698151 780728 930868 1171092 1396302 1561456 1861736 2342184 2792604 3025321 3723472 4684368 5585208 6050642 9075963 11170416 12101284 18151926 24202568 36303852 48405136 72607704 145215408