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670223040 = 2635719971
BaseRepresentation
bin100111111100101…
…100101011000000
31201201010212011120
4213330230223000
52333034114130
6150301112240
722415542014
oct4774545300
91651125146
10670223040
11314361543
12168558680
13a8b14aa6
1465026544
153dc8e910
hex27f2cac0

670223040 has 112 divisors (see below), whose sum is σ = 2133112320. Its totient is φ = 178293760.

The previous prime is 670223017. The next prime is 670223051. The reversal of 670223040 is 40322076.

670223040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 670223040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 689755 + ... + 690725.

Almost surely, 2670223040 is an apocalyptic number.

670223040 is a gapful number since it is divisible by the number (60) 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 670223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066556160).

670223040 is an abundant number, since it is smaller than the sum of its proper divisors (1462889280).

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

670223040 is a wasteful number, since it uses less digits than its factorization.

670223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 670223040 is about 25888.6662460622. Note that the first 3 decimals coincide. The cubic root of 670223040 is about 875.1310998123.

The spelling of 670223040 in words is "six hundred seventy million, two hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 719 960 971 1438 1942 2157 2876 2913 3595 3884 4314 4855 5752 5826 7190 7768 8628 9710 10785 11504 11652 14380 14565 15536 17256 19420 21570 23008 23304 28760 29130 31072 34512 38840 43140 46016 46608 57520 58260 62144 69024 77680 86280 93216 115040 116520 138048 155360 172560 186432 230080 233040 310720 345120 466080 690240 698149 932160 1396298 2094447 2792596 3490745 4188894 5585192 6981490 8377788 10472235 11170384 13962980 16755576 20944470 22340768 27925960 33511152 41888940 44681536 55851920 67022304 83777880 111703840 134044608 167555760 223407680 335111520 670223040