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2045145400 = 235237276371
BaseRepresentation
bin111100111100110…
…0111000100111000
312021112022011001221
41321321213010320
513142024123100
6534534321424
7101452310014
oct17171470470
95245264057
102045145400
1195a482011
12490ab9274
13267922c0c
1415588b544
15be82e01a
hex79e67138

2045145400 has 48 divisors (see below), whose sum is σ = 4883493240. Its totient is φ = 795945600.

The previous prime is 2045145391. The next prime is 2045145413. The reversal of 2045145400 is 45415402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130786 + ... + 145585.

Almost surely, 22045145400 is an apocalyptic number.

2045145400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2045145400 is an abundant number, since it is smaller than the sum of its proper divisors (2838347840).

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

2045145400 is a wasteful number, since it uses less digits than its factorization.

2045145400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276424 (or 276415 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 2045145400 is about 45223.2838259231. The cubic root of 2045145400 is about 1269.3305418307.

The spelling of 2045145400 in words is "two billion, forty-five million, one hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 740 925 1480 1850 3700 7400 276371 552742 1105484 1381855 2210968 2763710 5527420 6909275 10225727 11054840 13818550 20451454 27637100 40902908 51128635 55274200 81805816 102257270 204514540 255643175 409029080 511286350 1022572700 2045145400