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116569040 = 24572131227
BaseRepresentation
bin1101111001010…
…11001111010000
322010100022122212
412330223033100
5214320202130
615322251252
72613551300
oct674531720
9263308585
10116569040
115a889055
1233056b28
131b1c5383
14116a5600
15a378e95
hex6f2b3d0

116569040 has 120 divisors (see below), whose sum is σ = 319077792. Its totient is φ = 39486720.

The previous prime is 116569039. The next prime is 116569043. The reversal of 116569040 is 40965611.

It is a junction number, because it is equal to n+sod(n) for n = 116568988 and 116569006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116569043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 513407 + ... + 513633.

Almost surely, 2116569040 is an apocalyptic number.

116569040 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 116569040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159538896).

116569040 is an abundant number, since it is smaller than the sum of its proper divisors (202508752).

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

116569040 is a wasteful number, since it uses less digits than its factorization.

116569040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 116569040 is about 10796.7143150127. The cubic root of 116569040 is about 488.4960690593.

The spelling of 116569040 in words is "one hundred sixteen million, five hundred sixty-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 131 140 196 227 245 262 280 392 454 490 524 560 655 784 908 917 980 1048 1135 1310 1589 1816 1834 1960 2096 2270 2620 3178 3632 3668 3920 4540 4585 5240 6356 6419 7336 7945 9080 9170 10480 11123 12712 12838 14672 15890 18160 18340 22246 25424 25676 29737 31780 32095 36680 44492 51352 55615 59474 63560 64190 73360 88984 102704 111230 118948 127120 128380 148685 177968 208159 222460 237896 256760 297370 416318 444920 475792 513520 594740 832636 889840 1040795 1189480 1457113 1665272 2081590 2378960 2914226 3330544 4163180 5828452 7285565 8326360 11656904 14571130 16652720 23313808 29142260 58284520 116569040