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672214144 = 277361251
BaseRepresentation
bin101000000100010…
…010110010000000
31201211220000110011
4220010102302000
52334041323034
6150411514304
722441504000
oct5004226200
91654800404
10672214144
113154a1488
12169158994
13a9361164
14653c4000
153e034864
hex28112c80

672214144 has 128 divisors (see below), whose sum is σ = 1593648000. Its totient is φ = 282240000.

The previous prime is 672214133. The next prime is 672214177. The reversal of 672214144 is 441412276.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2678019 + ... + 2678269.

It is an arithmetic number, because the mean of its divisors is an integer number (12450375).

Almost surely, 2672214144 is an apocalyptic number.

672214144 is a gapful number since it is divisible by the number (64) 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 672214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796824000).

672214144 is an abundant number, since it is smaller than the sum of its proper divisors (921433856).

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

672214144 is an equidigital number, since it uses as much as digits as its factorization.

672214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 321 counting only the distinct ones).

The product of its digits is 10752, while the sum is 31.

The square root of 672214144 is about 25927.0928567011. The cubic root of 672214144 is about 875.9968585474.

The spelling of 672214144 in words is "six hundred seventy-two million, two hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 61 64 98 112 122 128 196 224 244 251 343 392 427 448 488 502 686 784 854 896 976 1004 1372 1568 1708 1757 1952 2008 2744 2989 3136 3416 3514 3904 4016 5488 5978 6272 6832 7028 7808 8032 10976 11956 12299 13664 14056 15311 16064 20923 21952 23912 24598 27328 28112 30622 32128 41846 43904 47824 49196 54656 56224 61244 83692 86093 95648 98392 107177 112448 122488 167384 172186 191296 196784 214354 224896 244976 334768 344372 382592 393568 428708 489952 669536 688744 750239 787136 857416 979904 1339072 1377488 1500478 1574272 1714832 1959808 2678144 2754976 3000956 3429664 5251673 5509952 6001912 6859328 10503346 11019904 12003824 13718656 21006692 24007648 42013384 48015296 84026768 96030592 168053536 336107072 672214144