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116633020 = 225719163269
BaseRepresentation
bin1101111001110…
…10110110111100
322010110120102111
412330322312330
5214324224040
615323503404
72614235650
oct674726674
9263416374
10116633020
115a922129
1233087b64
131b21852a
14116c0a60
15a38cdea
hex6f3adbc

116633020 has 96 divisors (see below), whose sum is σ = 297561600. Its totient is φ = 37511424.

The previous prime is 116633017. The next prime is 116633021. The reversal of 116633020 is 20336611.

It is a super-2 number, since 2×1166330202 = 27206522708640800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 116632982 and 116633000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116633021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433446 + ... + 433714.

It is an arithmetic number, because the mean of its divisors is an integer number (3099600).

Almost surely, 2116633020 is an apocalyptic number.

116633020 is a gapful number since it is divisible by the number (10) 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 116633020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148780800).

116633020 is an abundant number, since it is smaller than the sum of its proper divisors (180928580).

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

116633020 is a wasteful number, since it uses less digits than its factorization.

116633020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 116633020 is about 10799.6768470172. The cubic root of 116633020 is about 488.5854245813.

Adding to 116633020 its reverse (20336611), we get a palindrome (136969631).

The spelling of 116633020 in words is "one hundred sixteen million, six hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 163 190 266 269 326 380 532 538 652 665 815 1076 1141 1330 1345 1630 1883 2282 2660 2690 3097 3260 3766 4564 5111 5380 5705 6194 7532 9415 10222 11410 12388 15485 18830 20444 21679 22820 25555 30970 35777 37660 43358 43847 51110 61940 71554 86716 87694 102220 108395 143108 175388 178885 216790 219235 306929 357770 433580 438470 613858 715540 833093 876940 1227716 1534645 1666186 3069290 3332372 4165465 5831651 6138580 8330930 11663302 16661860 23326604 29158255 58316510 116633020