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116265100 = 2252737672
BaseRepresentation
bin1101110111000…
…01000010001100
322002202212201211
412323201002030
5214230440400
615311544204
72611144210
oct673410214
9262685654
10116265100
115a6a0766
1232b2b064
131b119c23
1411626940
15a318dba
hex6ee108c

116265100 has 108 divisors (see below), whose sum is σ = 300616176. Its totient is φ = 38206080.

The previous prime is 116265029. The next prime is 116265101. The reversal of 116265100 is 1562611.

It is not an unprimeable number, because it can be changed into a prime (116265101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1735267 + ... + 1735333.

Almost surely, 2116265100 is an apocalyptic number.

116265100 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 116265100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150308088).

116265100 is an abundant number, since it is smaller than the sum of its proper divisors (184351076).

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

116265100 is a wasteful number, since it uses less digits than its factorization.

116265100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 116265100 is about 10782.6295494188. The cubic root of 116265100 is about 488.0711342601.

The spelling of 116265100 in words is "one hundred sixteen million, two hundred sixty-five thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 37 50 67 70 74 100 134 140 148 175 185 259 268 335 350 370 469 518 670 700 740 925 938 1036 1295 1340 1675 1850 1876 2345 2479 2590 3350 3700 4489 4690 4958 5180 6475 6700 8978 9380 9916 11725 12395 12950 17353 17956 22445 23450 24790 25900 31423 34706 44890 46900 49580 61975 62846 69412 86765 89780 112225 123950 125692 157115 166093 173530 224450 247900 314230 332186 347060 433825 448900 628460 664372 785575 830465 867650 1162651 1571150 1660930 1735300 2325302 3142300 3321860 4152325 4650604 5813255 8304650 11626510 16609300 23253020 29066275 58132550 116265100