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1966494640 = 2451129251307
BaseRepresentation
bin111010100110110…
…0101001110110000
312002001022021111211
41311031211032300
513011410312030
6523044445504
766505633345
oct16515451660
95061267454
101966494640
1191a042590
1246a6a9894
132545459c6
141492567cc
15b799512a
hex753653b0

1966494640 has 160 divisors (see below), whose sum is σ = 5197167360. Its totient is φ = 685440000.

The previous prime is 1966494631. The next prime is 1966494653. The reversal of 1966494640 is 464946691.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6405367 + ... + 6405673.

It is an arithmetic number, because the mean of its divisors is an integer number (32482296).

Almost surely, 21966494640 is an apocalyptic number.

1966494640 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 1966494640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598583680).

1966494640 is an abundant number, since it is smaller than the sum of its proper divisors (3230672720).

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

1966494640 is a wasteful number, since it uses less digits than its factorization.

1966494640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 49.

The square root of 1966494640 is about 44345.1760623408. The cubic root of 1966494640 is about 1252.8457065140.

The spelling of 1966494640 in words is "one billion, nine hundred sixty-six million, four hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 145 176 220 232 251 290 307 319 440 464 502 580 614 638 880 1004 1160 1228 1255 1276 1535 1595 2008 2320 2456 2510 2552 2761 3070 3190 3377 4016 4912 5020 5104 5522 6140 6380 6754 7279 8903 10040 11044 12280 12760 13508 13805 14558 16885 17806 20080 22088 24560 25520 27016 27610 29116 33770 35612 36395 44176 44515 54032 55220 58232 67540 71224 72790 77057 80069 89030 97933 110440 116464 135080 142448 145580 154114 160138 178060 195866 220880 270160 291160 308228 320276 356120 385285 391732 400345 489665 582320 616456 640552 712240 770570 783464 800690 847627 979330 1232912 1281104 1541140 1566928 1601380 1695254 1958660 2234653 3082280 3202760 3390508 3917320 4238135 4469306 6164560 6405520 6781016 7834640 8476270 8938612 11173265 13562032 16952540 17877224 22346530 24581183 33905080 35754448 44693060 49162366 67810160 89386120 98324732 122905915 178772240 196649464 245811830 393298928 491623660 983247320 1966494640