Search a number
-
+
145017960 = 233510911087
BaseRepresentation
bin10001010010011…
…00110001101000
3101002212200020120
420221030301220
5244111033320
622220123240
73410426613
oct1051146150
9332780216
10145017960
117494a15a
1240696520
1324076359
141538d17a
15cae8440
hex8a4cc68

145017960 has 64 divisors (see below), whose sum is σ = 439084800. Its totient is φ = 38313216.

The previous prime is 145017953. The next prime is 145017991. The reversal of 145017960 is 69710541.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7537 + ... + 18623.

It is an arithmetic number, because the mean of its divisors is an integer number (6860700).

Almost surely, 2145017960 is an apocalyptic number.

145017960 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 145017960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219542400).

145017960 is an abundant number, since it is smaller than the sum of its proper divisors (294066840).

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

145017960 is a wasteful number, since it uses less digits than its factorization.

145017960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11210 (or 11206 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 145017960 is about 12042.3403041103. The cubic root of 145017960 is about 525.3804770292.

The spelling of 145017960 in words is "one hundred forty-five million, seventeen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 109 120 218 327 436 545 654 872 1090 1308 1635 2180 2616 3270 4360 6540 11087 13080 22174 33261 44348 55435 66522 88696 110870 133044 166305 221740 266088 332610 443480 665220 1208483 1330440 2416966 3625449 4833932 6042415 7250898 9667864 12084830 14501796 18127245 24169660 29003592 36254490 48339320 72508980 145017960