Search a number
-
+
1220935680 = 21734523
BaseRepresentation
bin100100011000110…
…0000000000000000
310011002101221220000
41020301200000000
510000024420210
6321052520000
742153532146
oct11061400000
93132357800
101220935680
11577206058
122a0a80000
13165c44763
14b821d596
15722c3ac0
hex48c60000

1220935680 has 360 divisors, whose sum is σ = 4567579632. Its totient is φ = 311427072.

The previous prime is 1220935663. The next prime is 1220935691. The reversal of 1220935680 is 865390221.

1220935680 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 93 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53084149 + ... + 53084171.

Almost surely, 21220935680 is an apocalyptic number.

1220935680 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 1220935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283789816).

1220935680 is an abundant number, since it is smaller than the sum of its proper divisors (3346643952).

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

1220935680 is an frugal number, since it uses more digits than its factorization.

1220935680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1220935680 is about 34941.8900461895. The cubic root of 1220935680 is about 1068.8028302601.

The spelling of 1220935680 in words is "one billion, two hundred twenty million, nine hundred thirty-five thousand, six hundred eighty".