Search a number
-
+
2155427604 = 22331110911663
BaseRepresentation
bin1000000001111001…
…0011011100010100
312120012211001211000
42000132103130110
513403242140404
6553514143300
7104261555331
oct20036233424
95505731730
102155427604
11a06756730
12501a21b30
13284726865
14166397988
15c9365339
hex80793714

2155427604 has 96 divisors (see below), whose sum is σ = 6105415680. Its totient is φ = 652168800.

The previous prime is 2155427597. The next prime is 2155427623. The reversal of 2155427604 is 4067245512.

It is a happy number.

2155427604 is a `hidden beast` number, since 2 + 1 + 5 + 5 + 42 + 7 + 604 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1295277 + ... + 1296939.

It is an arithmetic number, because the mean of its divisors is an integer number (63598080).

Almost surely, 22155427604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2155427604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3052707840).

2155427604 is an abundant number, since it is smaller than the sum of its proper divisors (3949988076).

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

2155427604 is a wasteful number, since it uses less digits than its factorization.

2155427604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2155427604 is about 46426.5829455496. The cubic root of 2155427604 is about 1291.7480466372.

The spelling of 2155427604 in words is "two billion, one hundred fifty-five million, four hundred twenty-seven thousand, six hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1091 1188 1663 2182 3273 3326 4364 4989 6546 6652 9819 9978 12001 13092 14967 18293 19638 19956 24002 29457 29934 36003 36586 39276 44901 48004 54879 58914 59868 72006 73172 89802 108009 109758 117828 144012 164637 179604 216018 219516 324027 329274 432036 493911 648054 658548 987822 1296108 1814333 1975644 3628666 5442999 7257332 10885998 16328997 19957663 21771996 32657994 39915326 48986991 59872989 65315988 79830652 97973982 119745978 179618967 195947964 239491956 359237934 538856901 718475868 1077713802 2155427604