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145523400 = 2335211171297
BaseRepresentation
bin10001010110010…
…00001011001000
3101010211100120120
420223020023020
5244223222100
622235023240
73414633321
oct1053101310
9333740516
10145523400
1175164980
124089ab20
13241c2429
1415481448
15cb980a0
hex8ac82c8

145523400 has 192 divisors, whose sum is σ = 521484480. Its totient is φ = 33177600.

The previous prime is 145523359. The next prime is 145523401. The reversal of 145523400 is 4325541.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (145523401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111552 + ... + 112848.

It is an arithmetic number, because the mean of its divisors is an integer number (2716065).

Almost surely, 2145523400 is an apocalyptic number.

145523400 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 145523400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260742240).

145523400 is an abundant number, since it is smaller than the sum of its proper divisors (375961080).

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

145523400 is a wasteful number, since it uses less digits than its factorization.

145523400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 145523400 is about 12063.3080040261. The cubic root of 145523400 is about 525.9901495454.

Adding to 145523400 its reverse (4325541), we get a palindrome (149848941).

The spelling of 145523400 in words is "one hundred forty-five million, five hundred twenty-three thousand, four hundred".