Search a number
-
+
145100020 = 22513242929
BaseRepresentation
bin10001010011000…
…00110011110100
3101010000211210211
420221200303310
5244121200040
622221555204
73411221062
oct1051406364
9333024724
10145100020
11749a587a
1240715b04
13240a4800
14153b1032
15cb128ea
hex8a60cf4

145100020 has 36 divisors (see below), whose sum is σ = 329959980. Its totient is φ = 53574144.

The previous prime is 145100003. The next prime is 145100041. The reversal of 145100020 is 20001541.

It can be written as a sum of positive squares in 6 ways, for example, as 81036004 + 64064016 = 9002^2 + 8004^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18085 + ... + 24844.

It is an arithmetic number, because the mean of its divisors is an integer number (9165555).

Almost surely, 2145100020 is an apocalyptic number.

145100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145100020 is an abundant number, since it is smaller than the sum of its proper divisors (184859960).

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

145100020 is a wasteful number, since it uses less digits than its factorization.

145100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42964 (or 42949 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 145100020 is about 12045.7469672910. The cubic root of 145100020 is about 525.4795557745.

Adding to 145100020 its reverse (20001541), we get a palindrome (165101561).

The spelling of 145100020 in words is "one hundred forty-five million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 42929 85858 171716 214645 429290 558077 858580 1116154 2232308 2790385 5580770 7255001 11161540 14510002 29020004 36275005 72550010 145100020