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116509428 = 22347471093
BaseRepresentation
bin1101111000111…
…00101011110100
322010020021220000
412330130223310
5214311300203
615321111300
72613212430
oct674345364
9263207800
10116509428
115a848292
1233028530
131b1a41b9
141168b9c0
15a3664a3
hex6f1caf4

116509428 has 120 divisors (see below), whose sum is σ = 355821312. Its totient is φ = 32550336.

The previous prime is 116509417. The next prime is 116509433. The reversal of 116509428 is 824905611.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 116509392 and 116509401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 106050 + ... + 107142.

Almost surely, 2116509428 is an apocalyptic number.

116509428 is a gapful number since it is divisible by the number (18) 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 116509428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177910656).

116509428 is an abundant number, since it is smaller than the sum of its proper divisors (239311884).

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

116509428 is a wasteful number, since it uses less digits than its factorization.

116509428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 116509428 is about 10793.9533072920. The cubic root of 116509428 is about 488.4127845297.

The spelling of 116509428 in words is "one hundred sixteen million, five hundred nine thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 47 54 63 81 84 94 108 126 141 162 188 189 252 282 324 329 378 423 564 567 658 756 846 987 1093 1134 1269 1316 1692 1974 2186 2268 2538 2961 3279 3807 3948 4372 5076 5922 6558 7614 7651 8883 9837 11844 13116 15228 15302 17766 19674 22953 26649 29511 30604 35532 39348 45906 51371 53298 59022 68859 88533 91812 102742 106596 118044 137718 154113 177066 205484 206577 275436 308226 354132 359597 413154 462339 616452 619731 719194 826308 924678 1078791 1239462 1387017 1438388 1849356 2157582 2478924 2774034 3236373 4161051 4315164 5548068 6472746 8322102 9709119 12945492 16644204 19418238 29127357 38836476 58254714 116509428