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145442100 = 223523671321
BaseRepresentation
bin10001010101101…
…00010100110100
3101010200020001110
420222310110310
5244213121400
622233155020
73414144306
oct1052642464
9333606043
10145442100
1175109891
124085ba70
132419441b
141545d976
15cb7de50
hex8ab4534

145442100 has 72 divisors (see below), whose sum is σ = 422278528. Its totient is φ = 38649600.

The previous prime is 145442069. The next prime is 145442147. The reversal of 145442100 is 1244541.

It is a happy number.

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, 109440 + ... + 110760.

Almost surely, 2145442100 is an apocalyptic number.

145442100 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 145442100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211139264).

145442100 is an abundant number, since it is smaller than the sum of its proper divisors (276836428).

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

145442100 is a wasteful number, since it uses less digits than its factorization.

145442100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 145442100 is about 12059.9378107849. The cubic root of 145442100 is about 525.8921791270.

Adding to 145442100 its reverse (1244541), we get a palindrome (146686641).

The spelling of 145442100 in words is "one hundred forty-five million, four hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 367 734 1101 1321 1468 1835 2202 2642 3670 3963 4404 5284 5505 6605 7340 7926 9175 11010 13210 15852 18350 19815 22020 26420 27525 33025 36700 39630 55050 66050 79260 99075 110100 132100 198150 396300 484807 969614 1454421 1939228 2424035 2908842 4848070 5817684 7272105 9696140 12120175 14544210 24240350 29088420 36360525 48480700 72721050 145442100