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116655616 = 297112269
BaseRepresentation
bin1101111010000…
…00011000000000
322010111201102101
412331000120000
5214330434431
615324200144
72614361560
oct675003000
9263451371
10116655616
115a938100
1233099054
131b2258bc
14116c8da0
15a394961
hex6f40600

116655616 has 120 divisors (see below), whose sum is σ = 293887440. Its totient is φ = 45281280.

The previous prime is 116655613. The next prime is 116655647. The reversal of 116655616 is 616556611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116655613) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 433530 + ... + 433798.

It is an arithmetic number, because the mean of its divisors is an integer number (2449062).

Almost surely, 2116655616 is an apocalyptic number.

116655616 is a gapful number since it is divisible by the number (16) 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 116655616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146943720).

116655616 is an abundant number, since it is smaller than the sum of its proper divisors (177231824).

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

116655616 is an equidigital number, since it uses as much as digits as its factorization.

116655616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 289 counting only the distinct ones).

The product of its digits is 32400, while the sum is 37.

The square root of 116655616 is about 10800.7229387666. The cubic root of 116655616 is about 488.6169747185.

The spelling of 116655616 in words is "one hundred sixteen million, six hundred fifty-five thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 128 154 176 224 242 256 269 308 352 448 484 512 538 616 704 847 896 968 1076 1232 1408 1694 1792 1883 1936 2152 2464 2816 2959 3388 3584 3766 3872 4304 4928 5632 5918 6776 7532 7744 8608 9856 11836 13552 15064 15488 17216 19712 20713 23672 27104 30128 30976 32549 34432 39424 41426 47344 54208 60256 61952 65098 68864 82852 94688 108416 120512 130196 137728 165704 189376 216832 227843 241024 260392 331408 378752 433664 455686 482048 520784 662816 757504 911372 964096 1041568 1325632 1515008 1822744 2083136 2651264 3645488 4166272 5302528 7290976 8332544 10605056 14581952 16665088 29163904 58327808 116655616