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109852272 = 243243113157
BaseRepresentation
bin1101000110000…
…11011001110000
321122201001222200
412203003121300
5211110233042
614522303200
72502505005
oct643033160
9248631880
10109852272
1157010702
1230957b00
13199b305a
14108378ac
15999dc4c
hex68c3670

109852272 has 120 divisors (see below), whose sum is σ = 319388784. Its totient is φ = 35223552.

The previous prime is 109852247. The next prime is 109852273. The reversal of 109852272 is 272258901.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109852273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 699618 + ... + 699774.

Almost surely, 2109852272 is an apocalyptic number.

109852272 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 109852272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159694392).

109852272 is an abundant number, since it is smaller than the sum of its proper divisors (209536512).

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

109852272 is a wasteful number, since it uses less digits than its factorization.

109852272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 109852272 is about 10481.0434595034. The cubic root of 109852272 is about 478.9273966228.

The spelling of 109852272 in words is "one hundred nine million, eight hundred fifty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 113 129 144 157 172 226 258 314 339 344 387 452 471 516 628 678 688 774 904 942 1017 1032 1256 1356 1413 1548 1808 1884 2034 2064 2512 2712 2826 3096 3768 4068 4859 5424 5652 6192 6751 7536 8136 9718 11304 13502 14577 16272 17741 19436 20253 22608 27004 29154 35482 38872 40506 43731 53223 54008 58308 60759 70964 77744 81012 87462 106446 108016 116616 121518 141928 159669 162024 174924 212892 233232 243036 283856 319338 324048 349848 425784 486072 638676 699696 762863 851568 972144 1277352 1525726 2288589 2554704 3051452 4577178 6102904 6865767 9154356 12205808 13731534 18308712 27463068 36617424 54926136 109852272