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145543620 = 223513118517
BaseRepresentation
bin10001010110011…
…01000111000100
3101010212101022110
420223031013010
5244224343440
622235301020
73415046265
oct1053150704
9333771273
10145543620
1175179092
12408aa770
13241cb6b1
141548896c
15cb9e080
hex8acd1c4

145543620 has 48 divisors (see below), whose sum is σ = 410655168. Its totient is φ = 38513280.

The previous prime is 145543597. The next prime is 145543627. The reversal of 145543620 is 26345541.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (145543627) 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, 1399 + ... + 17118.

It is an arithmetic number, because the mean of its divisors is an integer number (8555316).

Almost surely, 2145543620 is an apocalyptic number.

145543620 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 145543620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205327584).

145543620 is an abundant number, since it is smaller than the sum of its proper divisors (265111548).

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

145543620 is a wasteful number, since it uses less digits than its factorization.

145543620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18660 (or 18658 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 145543620 is about 12064.1460534926. The cubic root of 145543620 is about 526.0145099536.

The spelling of 145543620 in words is "one hundred forty-five million, five hundred forty-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 393 524 655 786 1310 1572 1965 2620 3930 7860 18517 37034 55551 74068 92585 111102 185170 222204 277755 370340 555510 1111020 2425727 4851454 7277181 9702908 12128635 14554362 24257270 29108724 36385905 48514540 72771810 145543620