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1206401220 = 2232541163469
BaseRepresentation
bin100011111101000…
…0011100011000100
310010002001112100200
41013322003203010
54432314314340
6315413210500
741616145503
oct10772034304
93102045320
101206401220
11569a89102
12298030a30
13162c25c9b
14b631883a
1570da2330
hex47e838c4

1206401220 has 72 divisors (see below), whose sum is σ = 3748694040. Its totient is φ = 313858560.

The previous prime is 1206401167. The next prime is 1206401227. The reversal of 1206401220 is 221046021.

1206401220 is a `hidden beast` number, since 1 + 2 + 0 + 640 + 1 + 2 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 367236 + 1206033984 = 606^2 + 34728^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1206401193 and 1206401202.

It is not an unprimeable number, because it can be changed into a prime (1206401227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74355 + ... + 89114.

It is an arithmetic number, because the mean of its divisors is an integer number (52065195).

Almost surely, 21206401220 is an apocalyptic number.

1206401220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1206401220 is an abundant number, since it is smaller than the sum of its proper divisors (2542292820).

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

1206401220 is a wasteful number, since it uses less digits than its factorization.

1206401220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163525 (or 163520 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1206401220 is about 34733.2869161558. The cubic root of 1206401220 is about 1064.5447502107.

Adding to 1206401220 its reverse (221046021), we get a palindrome (1427447241).

The spelling of 1206401220 in words is "one billion, two hundred six million, four hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 163469 326938 490407 653876 817345 980814 1471221 1634690 1961628 2452035 2942442 3269380 4904070 5884884 6702229 7356105 9808140 13404458 14712210 20106687 26808916 29424420 33511145 40213374 60320061 67022290 80426748 100533435 120640122 134044580 201066870 241280244 301600305 402133740 603200610 1206401220