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1830204864 = 26329973187
BaseRepresentation
bin110110100010110…
…1011010111000000
311201112212001002100
41231011223113000
512222013023424
6501335350400
763232325145
oct15505532700
94645761070
101830204864
1185a115004
12430b22400
13232237377
141350da3cc
15aaa22dc9
hex6d16b5c0

1830204864 has 84 divisors (see below), whose sum is σ = 5252861224. Its totient is φ = 609265152.

The previous prime is 1830204821. The next prime is 1830204907. The reversal of 1830204864 is 4684020381.

It is an interprime number because it is at equal distance from previous prime (1830204821) and next prime (1830204907).

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 11 ways as a sum of consecutive naturals, for example, 572679 + ... + 575865.

Almost surely, 21830204864 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 1830204864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626430612).

1830204864 is an abundant number, since it is smaller than the sum of its proper divisors (3422656360).

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

1830204864 is a wasteful number, since it uses less digits than its factorization.

1830204864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202 (or 4189 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1830204864 is about 42780.8936793050. The cubic root of 1830204864 is about 1223.2068422862.

The spelling of 1830204864 in words is "one billion, eight hundred thirty million, two hundred four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 997 1994 2991 3187 3988 5982 6374 7976 8973 9561 11964 12748 15952 17946 19122 23928 25496 28683 31904 35892 38244 47856 50992 57366 63808 71784 76488 95712 101984 114732 143568 152976 191424 203968 229464 287136 305952 458928 574272 611904 917856 1835712 3177439 6354878 9532317 12709756 19064634 25419512 28596951 38129268 50839024 57193902 76258536 101678048 114387804 152517072 203356096 228775608 305034144 457551216 610068288 915102432 1830204864