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664980840 = 233451712073
BaseRepresentation
bin100111101000101…
…100110101101000
31201100021112020000
4213220230311220
52330213341330
6145552503000
722323146436
oct4750546550
91640245200
10664980840
11311400a47
1216684aa60
13a79ca9b4
146445dd56
153d5a6560
hex27a2cd68

664980840 has 160 divisors (see below), whose sum is σ = 2366745480. Its totient is φ = 166883328.

The previous prime is 664980839. The next prime is 664980889. The reversal of 664980840 is 48089466.

It is a happy number.

664980840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 429235524 + 235745316 = 20718^2 + 15354^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49044 + ... + 61116.

Almost surely, 2664980840 is an apocalyptic number.

664980840 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 664980840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183372740).

664980840 is an abundant number, since it is smaller than the sum of its proper divisors (1701764640).

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

664980840 is a wasteful number, since it uses less digits than its factorization.

664980840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12113 (or 12100 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 664980840 is about 25787.2224173136. Note that the first 3 decimals coincide. The cubic root of 664980840 is about 872.8434905599.

The spelling of 664980840 in words is "six hundred sixty-four million, nine hundred eighty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 81 85 90 102 108 120 135 136 153 162 170 180 204 216 255 270 306 324 340 360 405 408 459 510 540 612 648 680 765 810 918 1020 1080 1224 1377 1530 1620 1836 2040 2295 2754 3060 3240 3672 4590 5508 6120 6885 9180 11016 12073 13770 18360 24146 27540 36219 48292 55080 60365 72438 96584 108657 120730 144876 181095 205241 217314 241460 289752 325971 362190 410482 434628 482920 543285 615723 651942 724380 820964 869256 977913 1026205 1086570 1231446 1303884 1448760 1629855 1641928 1847169 1955826 2052410 2173140 2462892 2607768 3078615 3259710 3694338 3911652 4104820 4346280 4889565 4925784 5541507 6157230 6519420 7388676 7823304 8209640 9235845 9779130 11083014 12314460 13038840 14777352 16624521 18471690 19558260 22166028 24628920 27707535 33249042 36943380 39116520 44332056 55415070 66498084 73886760 83122605 110830140 132996168 166245210 221660280 332490420 664980840