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2148024006 = 23210311310253
BaseRepresentation
bin1000000000001000…
…0011111011000110
312112200212220222200
42000002003323012
513344343232011
6553051335330
7104141621442
oct20002037306
95480786880
102148024006
11a0255a257
124bb451546
13283033a2b
141653cb822
15c88a1856
hex80083ec6

2148024006 has 48 divisors (see below), whose sum is σ = 4741285536. Its totient is φ = 702713088.

The previous prime is 2148023993. The next prime is 2148024019. The reversal of 2148024006 is 6004208412.

It is an interprime number because it is at equal distance from previous prime (2148023993) and next prime (2148024019).

It is a super-2 number, since 2×21480240062 = 9228014260704576072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204376 + ... + 214628.

It is an arithmetic number, because the mean of its divisors is an integer number (98776782).

Almost surely, 22148024006 is an apocalyptic number.

2148024006 is an abundant number, since it is smaller than the sum of its proper divisors (2593261530).

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

2148024006 is a wasteful number, since it uses less digits than its factorization.

2148024006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10477 (or 10474 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2148024006 is about 46346.7798881433. The cubic root of 2148024006 is about 1290.2673576013.

The spelling of 2148024006 in words is "two billion, one hundred forty-eight million, twenty-four thousand, six".

Divisors: 1 2 3 6 9 18 103 113 206 226 309 339 618 678 927 1017 1854 2034 10253 11639 20506 23278 30759 34917 61518 69834 92277 104751 184554 209502 1056059 1158589 2112118 2317178 3168177 3475767 6336354 6951534 9504531 10427301 19009062 20854602 119334667 238669334 358004001 716008002 1074012003 2148024006