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145321400 = 23527103801
BaseRepresentation
bin10001010100101…
…10110110111000
3101010110002111002
420222112312320
5244200241100
622230424132
73413132360
oct1052266670
9333402432
10145321400
1175037134
1240802048
13241514c3
141542b9a0
15cb582d5
hex8a96db8

145321400 has 48 divisors (see below), whose sum is σ = 386143440. Its totient is φ = 49824000.

The previous prime is 145321387. The next prime is 145321403. The reversal of 145321400 is 4123541.

145321400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1453214002 = 42236618595920000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145321403) 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, 50501 + ... + 53300.

It is an arithmetic number, because the mean of its divisors is an integer number (8044655).

Almost surely, 2145321400 is an apocalyptic number.

145321400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145321400 is an abundant number, since it is smaller than the sum of its proper divisors (240822040).

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

145321400 is a wasteful number, since it uses less digits than its factorization.

145321400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103824 (or 103815 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 145321400 is about 12054.9326003923. The cubic root of 145321400 is about 525.7466624504.

Adding to 145321400 its reverse (4123541), we get a palindrome (149444941).

The spelling of 145321400 in words is "one hundred forty-five million, three hundred twenty-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 103801 207602 415204 519005 726607 830408 1038010 1453214 2076020 2595025 2906428 3633035 4152040 5190050 5812856 7266070 10380100 14532140 18165175 20760200 29064280 36330350 72660700 145321400