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1230857984 = 2837199653
BaseRepresentation
bin100100101011101…
…0110011100000000
310011210002001201202
41021113112130000
510010044423414
6322045320332
742334056146
oct11127263400
93153061652
101230857984
11581872904
122a42660a8
13168009b45
14b9683596
15730d39de
hex495d6700

1230857984 has 72 divisors (see below), whose sum is σ = 2539874400. Its totient is φ = 594874368.

The previous prime is 1230857963. The next prime is 1230857993. The reversal of 1230857984 is 4897580321.

It is a happy number.

It is a super-2 number, since 2×12308579842 = 3030022753553088512, 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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1884602 + ... + 1885254.

Almost surely, 21230857984 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 1230857984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269937200).

1230857984 is an abundant number, since it is smaller than the sum of its proper divisors (1309016416).

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

1230857984 is an equidigital number, since it uses as much as digits as its factorization.

1230857984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The square root of 1230857984 is about 35083.5856776356. The cubic root of 1230857984 is about 1071.6903390138.

The spelling of 1230857984 in words is "one billion, two hundred thirty million, eight hundred fifty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 199 256 296 398 592 653 796 1184 1306 1592 2368 2612 3184 4736 5224 6368 7363 9472 10448 12736 14726 20896 24161 25472 29452 41792 48322 50944 58904 83584 96644 117808 129947 167168 193288 235616 259894 386576 471232 519788 773152 942464 1039576 1546304 1884928 2079152 3092608 4158304 4808039 6185216 8316608 9616078 16633216 19232156 33266432 38464312 76928624 153857248 307714496 615428992 1230857984