Search a number
-
+
460148080 = 24571959733
BaseRepresentation
bin11011011011010…
…100110101110000
31012001211221111111
4123123110311300
51420244214310
6113354323104
714255123410
oct3333246560
91161757444
10460148080
11216818077
1210a129494
1374440a92
1445180640
152a5e528a
hex1b6d4d70

460148080 has 160 divisors (see below), whose sum is σ = 1310630400. Its totient is φ = 146727936.

The previous prime is 460148053. The next prime is 460148081. The reversal of 460148080 is 80841064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460148081) 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, 627394 + ... + 628126.

It is an arithmetic number, because the mean of its divisors is an integer number (8191440).

Almost surely, 2460148080 is an apocalyptic number.

460148080 is a gapful number since it is divisible by the number (40) 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 460148080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655315200).

460148080 is an abundant number, since it is smaller than the sum of its proper divisors (850482320).

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

460148080 is a wasteful number, since it uses less digits than its factorization.

460148080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 460148080 is about 21451.0624445504. The cubic root of 460148080 is about 772.0270870251.

The spelling of 460148080 in words is "four hundred sixty million, one hundred forty-eight thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 59 70 76 80 95 112 118 133 140 152 190 236 266 280 295 304 380 413 472 532 560 590 665 733 760 826 944 1064 1121 1180 1330 1466 1520 1652 2065 2128 2242 2360 2660 2932 3304 3665 4130 4484 4720 5131 5320 5605 5864 6608 7330 7847 8260 8968 10262 10640 11210 11728 13927 14660 15694 16520 17936 20524 22420 25655 27854 29320 31388 33040 39235 41048 43247 44840 51310 55708 58640 62776 69635 78470 82096 86494 89680 97489 102620 111416 125552 139270 156940 172988 194978 205240 216235 222832 278540 302729 313880 345976 389956 410480 432470 487445 557080 605458 627760 691952 779912 821693 864940 974890 1114160 1210916 1513645 1559824 1643386 1729880 1949780 2421832 3027290 3286772 3459760 3899560 4108465 4843664 5751851 6054580 6573544 7799120 8216930 11503702 12109160 13147088 16433860 23007404 24218320 28759255 32867720 46014808 57518510 65735440 92029616 115037020 230074040 460148080