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1164212920 = 235135474093
BaseRepresentation
bin100010101100100…
…0111101010111000
310000010200010220001
41011121013222320
54341014303140
6311305042344
740564434523
oct10531075270
93003603801
101164212920
11548193442
12285a863b4
131572743b0
14b0895bba
156c31be9a
hex45647ab8

1164212920 has 64 divisors (see below), whose sum is σ = 2826825120. Its totient is φ = 428972544.

The previous prime is 1164212909. The next prime is 1164212927. The reversal of 1164212920 is 292124611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1164212927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282394 + ... + 286486.

Almost surely, 21164212920 is an apocalyptic number.

1164212920 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 1164212920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413412560).

1164212920 is an abundant number, since it is smaller than the sum of its proper divisors (1662612200).

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

1164212920 is a wasteful number, since it uses less digits than its factorization.

1164212920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4664 (or 4660 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 1164212920 is about 34120.5644736426. The cubic root of 1164212920 is about 1051.9880460506.

The spelling of 1164212920 in words is "one billion, one hundred sixty-four million, two hundred twelve thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 547 1094 2188 2735 4093 4376 5470 7111 8186 10940 14222 16372 20465 21880 28444 32744 35555 40930 53209 56888 71110 81860 106418 142220 163720 212836 266045 284440 425672 532090 1064180 2128360 2238871 4477742 8955484 11194355 17910968 22388710 29105323 44777420 58210646 89554840 116421292 145526615 232842584 291053230 582106460 1164212920