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1045079010 = 23454392939
BaseRepresentation
bin111110010010101…
…010001111100010
32200211111111220000
4332102222033202
54120020012020
6251411400430
734620011403
oct7622521742
92624444800
101045079010
11496a13368
12251bb3116
13138691761
149cb239aa
1561b38090
hex3e4aa3e2

1045079010 has 80 divisors (see below), whose sum is σ = 2817460800. Its totient is φ = 277958304.

The previous prime is 1045078999. The next prime is 1045079011. The reversal of 1045079010 is 109705401.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1045079011) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 354121 + ... + 357059.

It is an arithmetic number, because the mean of its divisors is an integer number (35218260).

Almost surely, 21045079010 is an apocalyptic number.

1045079010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045079010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408730400).

1045079010 is an abundant number, since it is smaller than the sum of its proper divisors (1772381790).

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

1045079010 is a wasteful number, since it uses less digits than its factorization.

1045079010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3397 (or 3388 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1045079010 is about 32327.6817913070. The cubic root of 1045079010 is about 1014.8060360433.

The spelling of 1045079010 in words is "one billion, forty-five million, seventy-nine thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 439 810 878 1317 2195 2634 2939 3951 4390 5878 6585 7902 8817 11853 13170 14695 17634 19755 23706 26451 29390 35559 39510 44085 52902 59265 71118 79353 88170 118530 132255 158706 177795 238059 264510 355590 396765 476118 793530 1190295 1290221 2380590 2580442 3870663 6451105 7741326 11611989 12902210 19353315 23223978 34835967 38706630 58059945 69671934 104507901 116119890 174179835 209015802 348359670 522539505 1045079010