Search a number
-
+
1045274880 = 28351320939
BaseRepresentation
bin111110010011011…
…010000100000000
32200211212110120110
4332103122010000
54120042244010
6251415511320
734621455426
oct7623320400
92624773513
101045274880
11497037541
12252088540
1313872c960
149cb75116
1561b76120
hex3e4da100

1045274880 has 144 divisors (see below), whose sum is σ = 3595314240. Its totient is φ = 257286144.

The previous prime is 1045274861. The next prime is 1045274887. The reversal of 1045274880 is 884725401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1045274887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39451 + ... + 60389.

It is an arithmetic number, because the mean of its divisors is an integer number (24967460).

Almost surely, 21045274880 is an apocalyptic number.

1045274880 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 1045274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797657120).

1045274880 is an abundant number, since it is smaller than the sum of its proper divisors (2550039360).

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

1045274880 is a wasteful number, since it uses less digits than its factorization.

1045274880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20976 (or 20962 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 1045274880 is about 32330.7110964173. The cubic root of 1045274880 is about 1014.8694308169.

The spelling of 1045274880 in words is "one billion, forty-five million, two hundred seventy-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 520 624 640 768 780 832 960 1040 1248 1280 1560 1664 1920 2080 2496 3120 3328 3840 4160 4992 6240 8320 9984 12480 16640 20939 24960 41878 49920 62817 83756 104695 125634 167512 209390 251268 272207 314085 335024 418780 502536 544414 628170 670048 816621 837560 1005072 1088828 1256340 1340096 1361035 1633242 1675120 2010144 2177656 2512680 2680192 2722070 3266484 3350240 4020288 4083105 4355312 5025360 5360384 5444140 6532968 6700480 8040576 8166210 8710624 10050720 10888280 13065936 13400960 16081152 16332420 17421248 20101440 21776560 26131872 26801920 32664840 34842496 40202880 43553120 52263744 65329680 69684992 80405760 87106240 104527488 130659360 174212480 209054976 261318720 348424960 522637440 1045274880