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109402272 = 2533718089
BaseRepresentation
bin1101000010101…
…01100010100000
321121212012201000
412201111202200
5211001333042
614504512000
72465622030
oct641254240
9247765630
10109402272
1156833601
123077b600
1319886295
141075b8c0
15991074c
hex68558a0

109402272 has 96 divisors (see below), whose sum is σ = 364694400. Its totient is φ = 31256064.

The previous prime is 109402261. The next prime is 109402273. The reversal of 109402272 is 272204901.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (109402273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2997 + ... + 15092.

It is an arithmetic number, because the mean of its divisors is an integer number (3798900).

Almost surely, 2109402272 is an apocalyptic number.

109402272 is a gapful number since it is divisible by the number (12) 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 109402272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182347200).

109402272 is an abundant number, since it is smaller than the sum of its proper divisors (255292128).

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

109402272 is a wasteful number, since it uses less digits than its factorization.

109402272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18115 (or 18101 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 109402272 is about 10459.5541013946. The cubic root of 109402272 is about 478.2725405493.

The spelling of 109402272 in words is "one hundred nine million, four hundred two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 18089 36178 54267 72356 108534 126623 144712 162801 217068 253246 289424 325602 379869 434136 488403 506492 578848 651204 759738 868272 976806 1012984 1139607 1302408 1519476 1736544 1953612 2025968 2279214 2604816 3038952 3418821 3907224 4051936 4558428 5209632 6077904 6837642 7814448 9116856 12155808 13675284 15628896 18233712 27350568 36467424 54701136 109402272