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1045612020 = 223531641877
BaseRepresentation
bin111110010100101…
…100010111110100
32200212111121001010
4332110230113310
54120134041040
6251431032220
734624361355
oct7624542764
92625447033
101045612020
11497247872
1225220b670
1313881a24b
149cc21d2c
1561be0e80
hex3e52c5f4

1045612020 has 96 divisors (see below), whose sum is σ = 3030322176. Its totient is φ = 269107200.

The previous prime is 1045612003. The next prime is 1045612031. The reversal of 1045612020 is 202165401.

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 31 ways as a sum of consecutive naturals, for example, 1191822 + ... + 1192698.

It is an arithmetic number, because the mean of its divisors is an integer number (31565856).

Almost surely, 21045612020 is an apocalyptic number.

1045612020 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 1045612020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515161088).

1045612020 is an abundant number, since it is smaller than the sum of its proper divisors (1984710156).

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

1045612020 is a wasteful number, since it uses less digits than its factorization.

1045612020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1045612020 is about 32335.9246040685. The cubic root of 1045612020 is about 1014.9785301257.

Adding to 1045612020 its reverse (202165401), we get a palindrome (1247777421).

The spelling of 1045612020 in words is "one billion, forty-five million, six hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 641 877 930 1282 1754 1860 1923 2564 2631 3205 3508 3846 4385 5262 6410 7692 8770 9615 10524 12820 13155 17540 19230 19871 26310 27187 38460 39742 52620 54374 59613 79484 81561 99355 108748 119226 135935 163122 198710 238452 271870 298065 326244 397420 407805 543740 562157 596130 815610 1124314 1192260 1631220 1686471 2248628 2810785 3372942 5621570 6745884 8432355 11243140 16864710 17426867 33729420 34853734 52280601 69707468 87134335 104561202 174268670 209122404 261403005 348537340 522806010 1045612020