Search a number
-
+
145254420 = 223256113229
BaseRepresentation
bin10001010100001…
…10100000010100
3101010022200121100
420222012200110
5244141120140
622225150100
73412433163
oct1052064024
9333280540
10145254420
1174aa0883
124078b330
1324129b7c
14154113da
15cb43530
hex8a86814

145254420 has 72 divisors (see below), whose sum is σ = 447861960. Its totient is φ = 38096640.

The previous prime is 145254413. The next prime is 145254469. The reversal of 145254420 is 24452541.

It can be written as a sum of positive squares in 4 ways, for example, as 21511044 + 123743376 = 4638^2 + 11124^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4366 + ... + 17594.

It is an arithmetic number, because the mean of its divisors is an integer number (6220305).

Almost surely, 2145254420 is an apocalyptic number.

145254420 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 145254420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223930980).

145254420 is an abundant number, since it is smaller than the sum of its proper divisors (302607540).

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

145254420 is a wasteful number, since it uses less digits than its factorization.

145254420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13305 (or 13300 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 145254420 is about 12052.1541642978. The cubic root of 145254420 is about 525.6658761769.

The spelling of 145254420 in words is "one hundred forty-five million, two hundred fifty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 10980 13229 26458 39687 52916 66145 79374 119061 132290 158748 198435 238122 264580 396870 476244 595305 793740 806969 1190610 1613938 2381220 2420907 3227876 4034845 4841814 7262721 8069690 9683628 12104535 14525442 16139380 24209070 29050884 36313605 48418140 72627210 145254420