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116679696 = 2437677173
BaseRepresentation
bin1101111010001…
…10010000010000
322010112221110020
412331012100100
5214332222241
615324503440
72614522020
oct675062020
9263487406
10116679696
115a954201
12330aab80
131b233853
14116d3a80
15a39bb66
hex6f46410

116679696 has 160 divisors (see below), whose sum is σ = 359405568. Its totient is φ = 31933440.

The previous prime is 116679671. The next prime is 116679697. The reversal of 116679696 is 696976611.

It is a super-2 number, since 2×1166796962 = 27228302917304832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (116679697) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1598316 + ... + 1598388.

Almost surely, 2116679696 is an apocalyptic number.

116679696 is a gapful number since it is divisible by the number (16) 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 116679696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179702784).

116679696 is an abundant number, since it is smaller than the sum of its proper divisors (242725872).

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

116679696 is a wasteful number, since it uses less digits than its factorization.

116679696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 223 counting only the distinct ones).

The product of its digits is 734832, while the sum is 51.

The square root of 116679696 is about 10801.8376214420. The cubic root of 116679696 is about 488.6505924379.

The spelling of 116679696 in words is "one hundred sixteen million, six hundred seventy-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 67 71 73 84 112 134 142 146 168 201 213 219 268 284 292 336 402 426 438 469 497 511 536 568 584 804 852 876 938 994 1022 1072 1136 1168 1407 1491 1533 1608 1704 1752 1876 1988 2044 2814 2982 3066 3216 3408 3504 3752 3976 4088 4757 4891 5183 5628 5964 6132 7504 7952 8176 9514 9782 10366 11256 11928 12264 14271 14673 15549 19028 19564 20732 22512 23856 24528 28542 29346 31098 33299 34237 36281 38056 39128 41464 57084 58692 62196 66598 68474 72562 76112 78256 82928 99897 102711 108843 114168 117384 124392 133196 136948 145124 199794 205422 217686 228336 234768 248784 266392 273896 290248 347261 399588 410844 435372 532784 547792 580496 694522 799176 821688 870744 1041783 1389044 1598352 1643376 1741488 2083566 2430827 2778088 4167132 4861654 5556176 7292481 8334264 9723308 14584962 16668528 19446616 29169924 38893232 58339848 116679696