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1466068680 = 233354093319
BaseRepresentation
bin101011101100010…
…0110111011001000
310210011200000011000
41113120212323020
511000303144210
6401250535000
751221243466
oct12730467310
93704600130
101466068680
1169261510a
1234ab97460
131a4971a7b
14dc9cd836
1588a95ac0
hex57626ec8

1466068680 has 128 divisors (see below), whose sum is σ = 4900320000. Its totient is φ = 389878272.

The previous prime is 1466068679. The next prime is 1466068699. The reversal of 1466068680 is 868606641.

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 31 ways as a sum of consecutive naturals, for example, 440061 + ... + 443379.

It is an arithmetic number, because the mean of its divisors is an integer number (38283750).

Almost surely, 21466068680 is an apocalyptic number.

1466068680 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 1466068680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450160000).

1466068680 is an abundant number, since it is smaller than the sum of its proper divisors (3434251320).

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

1466068680 is a wasteful number, since it uses less digits than its factorization.

1466068680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3748 (or 3738 counting only the distinct ones).

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

The square root of 1466068680 is about 38289.2763055141. The cubic root of 1466068680 is about 1136.0168470192.

The spelling of 1466068680 in words is "one billion, four hundred sixty-six million, sixty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 409 540 818 1080 1227 1636 2045 2454 3272 3319 3681 4090 4908 6135 6638 7362 8180 9816 9957 11043 12270 13276 14724 16360 16595 18405 19914 22086 24540 26552 29448 29871 33190 36810 39828 44172 49080 49785 55215 59742 66380 73620 79656 88344 89613 99570 110430 119484 132760 147240 149355 179226 199140 220860 238968 298710 358452 398280 441720 448065 597420 716904 896130 1194840 1357471 1792260 2714942 3584520 4072413 5429884 6787355 8144826 10859768 12217239 13574710 16289652 20362065 24434478 27149420 32579304 36651717 40724130 48868956 54298840 61086195 73303434 81448260 97737912 122172390 146606868 162896520 183258585 244344780 293213736 366517170 488689560 733034340 1466068680