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116606610 = 23251923797
BaseRepresentation
bin1101111001101…
…00011010010010
322010102020012100
412330310122102
5214322402420
615323141230
72614065651
oct674643222
9263366170
10116606610
115a9042aa
1233074816
131b2094c3
14116b5198
15a385190
hex6f34692

116606610 has 144 divisors (see below), whose sum is σ = 332009496. Its totient is φ = 28366848.

The previous prime is 116606561. The next prime is 116606627. The reversal of 116606610 is 16606611.

It can be written as a sum of positive squares in 4 ways, for example, as 108805761 + 7800849 = 10431^2 + 2793^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1202082 + ... + 1202178.

Almost surely, 2116606610 is an apocalyptic number.

116606610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116606610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166004748).

116606610 is an abundant number, since it is smaller than the sum of its proper divisors (215402886).

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

116606610 is a wasteful number, since it uses less digits than its factorization.

116606610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 116606610 is about 10798.4540560212. The cubic root of 116606610 is about 488.5485439016.

Subtracting from 116606610 its reverse (16606611), we obtain a palindrome (99999999).

The spelling of 116606610 in words is "one hundred sixteen million, six hundred six thousand, six hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 37 38 45 57 74 90 95 97 111 114 171 185 190 194 222 285 291 333 342 361 370 485 555 570 582 666 703 722 855 873 970 1083 1110 1406 1455 1665 1710 1746 1805 1843 2109 2166 2910 3249 3330 3515 3589 3610 3686 4218 4365 5415 5529 6327 6498 7030 7178 8730 9215 10545 10767 10830 11058 12654 13357 16245 16587 17945 18430 21090 21534 26714 27645 31635 32301 32490 33174 35017 35890 40071 53835 55290 63270 64602 66785 68191 70034 80142 82935 105051 107670 120213 133570 136382 161505 165870 175085 200355 204573 210102 240426 315153 323010 340955 350170 400710 409146 525255 601065 613719 630306 681910 1022865 1050510 1202130 1227438 1295629 1575765 2045730 2591258 3068595 3151530 3886887 6137190 6478145 7773774 11660661 12956290 19434435 23321322 38868870 58303305 116606610