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612463680 = 2634523629
BaseRepresentation
bin100100100000010…
…111010001000000
31120200110101020000
4210200113101000
52223242314210
6140435120000
721114566253
oct4440272100
91520411200
10612463680
112947a1034
12151143000
1399b7095a
145b4ad09a
1538b80ac0
hex24817440

612463680 has 140 divisors (see below), whose sum is σ = 2178733260. Its totient is φ = 163316736.

The previous prime is 612463669. The next prime is 612463681. The reversal of 612463680 is 86364216.

612463680 is a `hidden beast` number, since 6 + 12 + 4 + 636 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 84934656 + 527529024 = 9216^2 + 22968^2 .

It is a super-2 number, since 2×6124636802 = 750223518638284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (612463681) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14106 + ... + 37734.

Almost surely, 2612463680 is an apocalyptic number.

612463680 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 612463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089366630).

612463680 is an abundant number, since it is smaller than the sum of its proper divisors (1566269580).

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

612463680 is a wasteful number, since it uses less digits than its factorization.

612463680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23658 (or 23639 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 612463680 is about 24748.0035558426. The cubic root of 612463680 is about 849.2328395325.

The spelling of 612463680 in words is "six hundred twelve million, four hundred sixty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 23629 25920 47258 70887 94516 118145 141774 189032 212661 236290 283548 354435 378064 425322 472580 567096 637983 708870 756128 850644 945160 1063305 1134192 1275966 1417740 1512256 1701288 1890320 1913949 2126610 2268384 2551932 2835480 3189915 3402576 3780640 3827898 4253220 4536768 5103864 5670960 6379830 6805152 7561280 7655796 8506440 9569745 10207728 11341920 12759660 13610304 15311592 17012880 19139490 20415456 22683840 25519320 30623184 34025760 38278980 40830912 51038640 61246368 68051520 76557960 102077280 122492736 153115920 204154560 306231840 612463680