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1045419820 = 225315928579
BaseRepresentation
bin111110010011111…
…101011100101100
32200212010211101121
4332103331130230
54120111413240
6251422550324
734622631124
oct7623753454
92625124347
101045419820
11497126425
122521383a4
13138780913
149cbb1c84
1561ba404a
hex3e4fd72c

1045419820 has 48 divisors (see below), whose sum is σ = 2304691200. Its totient is φ = 397805760.

The previous prime is 1045419799. The next prime is 1045419857. The reversal of 1045419820 is 289145401.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22291 + ... + 50869.

It is an arithmetic number, because the mean of its divisors is an integer number (48014400).

Almost surely, 21045419820 is an apocalyptic number.

1045419820 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 1045419820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152345600).

1045419820 is an abundant number, since it is smaller than the sum of its proper divisors (1259271380).

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

1045419820 is a wasteful number, since it uses less digits than its factorization.

1045419820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28678 (or 28676 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 1045419820 is about 32332.9525407130. The cubic root of 1045419820 is about 1014.9163366213.

The spelling of 1045419820 in words is "one billion, forty-five million, four hundred nineteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 31 59 62 118 124 155 236 295 310 590 620 1180 1829 3658 7316 9145 18290 28579 36580 57158 114316 142895 285790 571580 885949 1686161 1771898 3372322 3543796 4429745 6744644 8430805 8859490 16861610 17718980 33723220 52270991 104541982 209083964 261354955 522709910 1045419820