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145531400 = 23527103951
BaseRepresentation
bin10001010110010…
…10001000001000
3101010211202112212
420223022020020
5244224001100
622235124252
73414665540
oct1053121010
9333752485
10145531400
117516a993
12408a3688
13241c5c71
1415484320
15cb9a635
hex8aca208

145531400 has 48 divisors (see below), whose sum is σ = 386701440. Its totient is φ = 49896000.

The previous prime is 145531387. The next prime is 145531409. The reversal of 145531400 is 4135541.

It is not an unprimeable number, because it can be changed into a prime (145531409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50576 + ... + 53375.

It is an arithmetic number, because the mean of its divisors is an integer number (8056280).

Almost surely, 2145531400 is an apocalyptic number.

145531400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145531400 is an abundant number, since it is smaller than the sum of its proper divisors (241170040).

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

145531400 is a wasteful number, since it uses less digits than its factorization.

145531400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103974 (or 103965 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 145531400 is about 12063.6395834756. The cubic root of 145531400 is about 525.9997879589. Note that the first 3 decimals are identical.

Adding to 145531400 its reverse (4135541), we get a palindrome (149666941).

The spelling of 145531400 in words is "one hundred forty-five million, five hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 103951 207902 415804 519755 727657 831608 1039510 1455314 2079020 2598775 2910628 3638285 4158040 5197550 5821256 7276570 10395100 14553140 18191425 20790200 29106280 36382850 72765700 145531400