Search a number
-
+
67860480 = 21135472
BaseRepresentation
bin1000000101101…
…11100000000000
311201200200002010
410002313200000
5114333013410
610422252520
71452542652
oct402674000
9151620063
1067860480
113533a646
121a887140
131109ca3c
1490266d2
155e56c20
hex40b7800

67860480 has 144 divisors (see below), whose sum is σ = 221817960. Its totient is φ = 17711104.

The previous prime is 67860473. The next prime is 67860491. The reversal of 67860480 is 8406876.

It is a super-4 number, since 4×678604804 (a number of 32 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1443817 + ... + 1443863.

Almost surely, 267860480 is an apocalyptic number.

67860480 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 67860480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110908980).

67860480 is an abundant number, since it is smaller than the sum of its proper divisors (153957480).

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

67860480 is an equidigital number, since it uses as much as digits as its factorization.

67860480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 67860480 is about 8237.7472648777. The cubic root of 67860480 is about 407.8861658589.

The spelling of 67860480 in words is "sixty-seven million, eight hundred sixty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 128 141 160 188 192 235 240 256 282 320 376 384 470 480 512 564 640 705 752 768 940 960 1024 1128 1280 1410 1504 1536 1880 1920 2048 2209 2256 2560 2820 3008 3072 3760 3840 4418 4512 5120 5640 6016 6144 6627 7520 7680 8836 9024 10240 11045 11280 12032 13254 15040 15360 17672 18048 22090 22560 24064 26508 30080 30720 33135 35344 36096 44180 45120 48128 53016 60160 66270 70688 72192 88360 90240 96256 106032 120320 132540 141376 144384 176720 180480 212064 240640 265080 282752 288768 353440 360960 424128 481280 530160 565504 706880 721920 848256 1060320 1131008 1413760 1443840 1696512 2120640 2262016 2827520 3393024 4241280 4524032 5655040 6786048 8482560 11310080 13572096 16965120 22620160 33930240 67860480