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145240400 = 24522315787
BaseRepresentation
bin10001010100000…
…11000101010000
3101010021222101002
420222003011100
5244140143100
622225001132
73412344254
oct1052030520
9333258332
10145240400
1174a91298
12407831a8
1324123686
141540a264
15cb3e2d5
hex8a83150

145240400 has 60 divisors (see below), whose sum is σ = 364134432. Its totient is φ = 55566720.

The previous prime is 145240379. The next prime is 145240441. The reversal of 145240400 is 4042541.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1307 + ... + 17093.

Almost surely, 2145240400 is an apocalyptic number.

145240400 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 145240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182067216).

145240400 is an abundant number, since it is smaller than the sum of its proper divisors (218894032).

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

145240400 is a wasteful number, since it uses less digits than its factorization.

145240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15828 (or 15817 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 145240400 is about 12051.5725115024. The cubic root of 145240400 is about 525.6489631570.

Adding to 145240400 its reverse (4042541), we get a palindrome (149282941).

The spelling of 145240400 in words is "one hundred forty-five million, two hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 575 920 1150 1840 2300 4600 9200 15787 31574 63148 78935 126296 157870 252592 315740 363101 394675 631480 726202 789350 1262960 1452404 1578700 1815505 2904808 3157400 3631010 5809616 6314800 7262020 9077525 14524040 18155050 29048080 36310100 72620200 145240400