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1670029956 = 2232741392
BaseRepresentation
bin110001110001010…
…1010001010000100
311022101110022102100
41203202222022010
511410011424311
6433414312100
756246010000
oct14342521204
94271408370
101670029956
11787763251
123a7358630
13207cb510a
1411bb23700
159b933a56
hex638aa284

1670029956 has 135 divisors (see below), whose sum is σ = 4960433751. Its totient is φ = 473718672.

The previous prime is 1670029913. The next prime is 1670029961. The reversal of 1670029956 is 6599200761.

It is a happy number.

The square root of 1670029956 is 40866.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12014535 + ... + 12014673.

Almost surely, 21670029956 is an apocalyptic number.

1670029956 is the 40866-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1670029956

1670029956 is an abundant number, since it is smaller than the sum of its proper divisors (3290403795).

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

1670029956 is an equidigital number, since it uses as much as digits as its factorization.

1670029956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The cubic root of 1670029956 is about 1186.4280897238.

It can be divided in two parts, 16700 and 29956, that added together give a 6-th power (46656 = 66).

The spelling of 1670029956 in words is "one billion, six hundred seventy million, twenty-nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 139 147 196 252 278 294 343 417 441 556 588 686 834 882 973 1029 1251 1372 1668 1764 1946 2058 2401 2502 2919 3087 3892 4116 4802 5004 5838 6174 6811 7203 8757 9604 11676 12348 13622 14406 17514 19321 20433 21609 27244 28812 35028 38642 40866 43218 47677 57963 61299 77284 81732 86436 95354 115926 122598 135247 143031 173889 190708 231852 245196 270494 286062 333739 347778 405741 429093 540988 572124 667478 695556 811482 858186 946729 1001217 1217223 1334956 1622964 1716372 1893458 2002434 2434446 2840187 3003651 3786916 4004868 4868892 5680374 6007302 6627103 8520561 11360748 12014604 13254206 17041122 19881309 26508412 34082244 39762618 46389721 59643927 79525236 92779442 119287854 139169163 185558884 238575708 278338326 417507489 556676652 835014978 1670029956