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1016680704 = 28313791289
BaseRepresentation
bin111100100110010…
…101000100000000
32121212001201201220
4330212111010000
54040232240304
6244514555040
734123433454
oct7446250400
92555051656
101016680704
11481987296
12244598a80
1313282a820
1499050664
155e3c8ad9
hex3c995100

1016680704 has 144 divisors (see below), whose sum is σ = 2953171200. Its totient is φ = 308625408.

The previous prime is 1016680697. The next prime is 1016680727. The reversal of 1016680704 is 4070866101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 788092 + ... + 789380.

Almost surely, 21016680704 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 1016680704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476585600).

1016680704 is an abundant number, since it is smaller than the sum of its proper divisors (1936490496).

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

1016680704 is a wasteful number, since it uses less digits than its factorization.

1016680704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 1016680704 is about 31885.4309050387. The cubic root of 1016680704 is about 1005.5296018119.

The spelling of 1016680704 in words is "one billion, sixteen million, six hundred eighty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 79 96 104 128 156 158 192 208 237 256 312 316 384 416 474 624 632 768 832 948 1027 1248 1264 1289 1664 1896 2054 2496 2528 2578 3081 3328 3792 3867 4108 4992 5056 5156 6162 7584 7734 8216 9984 10112 10312 12324 15168 15468 16432 16757 20224 20624 24648 30336 30936 32864 33514 41248 49296 50271 60672 61872 65728 67028 82496 98592 100542 101831 123744 131456 134056 164992 197184 201084 203662 247488 262912 268112 305493 329984 394368 402168 407324 494976 536224 610986 788736 804336 814648 989952 1072448 1221972 1323803 1608672 1629296 2144896 2443944 2647606 3217344 3258592 3971409 4289792 4887888 5295212 6434688 6517184 7942818 9775776 10590424 12869376 13034368 15885636 19551552 21180848 26068736 31771272 39103104 42361696 63542544 78206208 84723392 127085088 169446784 254170176 338893568 508340352 1016680704