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1080670144 = 26171961857
BaseRepresentation
bin100000001101001…
…1011011111000000
32210022110201202011
41000122123133000
54203122421034
6255122302304
735531354551
oct10032333700
92708421664
101080670144
11505012524
12261ab7994
13142b735b8
14a374a328
1564d18864
hex4069b7c0

1080670144 has 112 divisors (see below), whose sum is σ = 2432121120. Its totient is φ = 473333760.

The previous prime is 1080670139. The next prime is 1080670153. The reversal of 1080670144 is 4410760801.

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 15 ways as a sum of consecutive naturals, for example, 1260564 + ... + 1261420.

Almost surely, 21080670144 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 1080670144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216060560).

1080670144 is an abundant number, since it is smaller than the sum of its proper divisors (1351450976).

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

1080670144 is a wasteful number, since it uses less digits than its factorization.

1080670144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 1080670144 is about 32873.5477854156. The cubic root of 1080670144 is about 1026.1977334106.

The spelling of 1080670144 in words is "one billion, eighty million, six hundred seventy thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 19 32 34 38 61 64 68 76 122 136 152 244 272 304 323 488 544 608 646 857 976 1037 1088 1159 1216 1292 1714 1952 2074 2318 2584 3428 3904 4148 4636 5168 6856 8296 9272 10336 13712 14569 16283 16592 18544 19703 20672 27424 29138 32566 33184 37088 39406 52277 54848 58276 65132 66368 74176 78812 104554 116552 130264 157624 209108 233104 260528 276811 315248 418216 466208 521056 553622 630496 836432 888709 932416 993263 1042112 1107244 1260992 1672864 1777418 1986526 2214488 3345728 3554836 3973052 4428976 7109672 7946104 8857952 14219344 15892208 16885471 17715904 28438688 31784416 33770942 56877376 63568832 67541884 135083768 270167536 540335072 1080670144