Search a number
-
+
145554100 = 225241131271
BaseRepresentation
bin10001010110011…
…11101010110100
3101010212220200121
420223033222310
5244230212400
622235421324
73415121656
oct1053175264
9333786617
10145554100
1175185a4a
12408b4844
13242033b3
141548c6d6
15cba221a
hex8acfab4

145554100 has 72 divisors (see below), whose sum is σ = 327229056. Its totient is φ = 56160000.

The previous prime is 145554091. The next prime is 145554127. The reversal of 145554100 is 1455541.

It is a happy number.

145554100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 536965 + ... + 537235.

It is an arithmetic number, because the mean of its divisors is an integer number (4544848).

Almost surely, 2145554100 is an apocalyptic number.

145554100 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 145554100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163614528).

145554100 is an abundant number, since it is smaller than the sum of its proper divisors (181674956).

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

145554100 is a wasteful number, since it uses less digits than its factorization.

145554100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 145554100 is about 12064.5803905482. The cubic root of 145554100 is about 526.0271350341.

Multiplying 145554100 by its reverse (1455541), we get a square (211859960268100 = 145554102).

145554100 divided by its reverse (1455541) gives a square (100 = 102).

It can be divided in two parts, 1455 and 54100, that added together give a palindrome (55555).

The spelling of 145554100 in words is "one hundred forty-five million, five hundred fifty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 131 164 205 262 271 410 524 542 655 820 1025 1084 1310 1355 2050 2620 2710 3275 4100 5371 5420 6550 6775 10742 11111 13100 13550 21484 22222 26855 27100 35501 44444 53710 55555 71002 107420 111110 134275 142004 177505 222220 268550 277775 355010 537100 555550 710020 887525 1111100 1455541 1775050 2911082 3550100 5822164 7277705 14555410 29110820 36388525 72777050 145554100