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116274528 = 253519787
BaseRepresentation
bin1101110111000…
…11010101100000
322002210100200000
412323203111200
5214231241103
615312100000
72611213536
oct673432540
9262710600
10116274528
115a6a7857
1232b34600
131b1212c6
141162a156
15a31baa3
hex6ee3560

116274528 has 144 divisors (see below), whose sum is σ = 361408320. Its totient is φ = 36671616.

The previous prime is 116274517. The next prime is 116274559. The reversal of 116274528 is 825472611.

116274528 is a `hidden beast` number, since 1 + 1 + 62 + 74 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 116274492 and 116274501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147351 + ... + 148137.

It is an arithmetic number, because the mean of its divisors is an integer number (2509780).

Almost surely, 2116274528 is an apocalyptic number.

116274528 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 116274528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180704160).

116274528 is an abundant number, since it is smaller than the sum of its proper divisors (245133792).

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

116274528 is an equidigital number, since it uses as much as digits as its factorization.

116274528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 811 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 116274528 is about 10783.0667251946. The cubic root of 116274528 is about 488.0843265544.

The spelling of 116274528 in words is "one hundred sixteen million, two hundred seventy-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 81 96 108 114 144 152 162 171 216 228 243 288 304 324 342 432 456 486 513 608 648 684 787 864 912 972 1026 1296 1368 1539 1574 1824 1944 2052 2361 2592 2736 3078 3148 3888 4104 4617 4722 5472 6156 6296 7083 7776 8208 9234 9444 12312 12592 14166 14953 16416 18468 18888 21249 24624 25184 28332 29906 36936 37776 42498 44859 49248 56664 59812 63747 73872 75552 84996 89718 113328 119624 127494 134577 147744 169992 179436 191241 226656 239248 254988 269154 339984 358872 382482 403731 478496 509976 538308 679968 717744 764964 807462 1019952 1076616 1211193 1435488 1529928 1614924 2039904 2153232 2422386 3059856 3229848 3633579 4306464 4844772 6119712 6459696 7267158 9689544 12919392 14534316 19379088 29068632 38758176 58137264 116274528