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2030770320 = 243531499547
BaseRepresentation
bin111100100001011…
…0001100010010000
312020112020211011120
41321002301202100
513124334122240
6533302242240
7101216156115
oct17102614220
95215224146
102030770320
11952353887
12488126380
1326495bb57
141539c890c
15bd43ead0
hex790b1890

2030770320 has 160 divisors (see below), whose sum is σ = 6523392000. Its totient is φ = 522063360.

The previous prime is 2030770297. The next prime is 2030770321. The reversal of 2030770320 is 230770302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2030770321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3712287 + ... + 3712833.

It is an arithmetic number, because the mean of its divisors is an integer number (40771200).

Almost surely, 22030770320 is an apocalyptic number.

2030770320 is a gapful number since it is divisible by the number (20) 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 2030770320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261696000).

2030770320 is an abundant number, since it is smaller than the sum of its proper divisors (4492621680).

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

2030770320 is a wasteful number, since it uses less digits than its factorization.

2030770320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 24.

The square root of 2030770320 is about 45064.0690572878. The cubic root of 2030770320 is about 1266.3495561981.

The spelling of 2030770320 in words is "two billion, thirty million, seven hundred seventy thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 499 547 620 744 930 998 1094 1240 1488 1497 1641 1860 1996 2188 2480 2495 2735 2994 3282 3720 3992 4376 4990 5470 5988 6564 7440 7485 7984 8205 8752 9980 10940 11976 13128 14970 15469 16410 16957 19960 21880 23952 26256 29940 30938 32820 33914 39920 43760 46407 50871 59880 61876 65640 67828 77345 84785 92814 101742 119760 123752 131280 135656 154690 169570 185628 203484 232035 247504 254355 271312 272953 309380 339140 371256 406968 464070 508710 545906 618760 678280 742512 813936 818859 928140 1017420 1091812 1237520 1356560 1364765 1637718 1856280 2034840 2183624 2729530 3275436 3712560 4069680 4094295 4367248 5459060 6550872 8188590 8461543 10918120 13101744 16377180 16923086 21836240 25384629 32754360 33846172 42307715 50769258 65508720 67692344 84615430 101538516 126923145 135384688 169230860 203077032 253846290 338461720 406154064 507692580 676923440 1015385160 2030770320