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1109374272 = 263323103271
BaseRepresentation
bin100001000011111…
…1011010101000000
32212022111001102000
41002013323111000
54232444434042
6302025424000
736330345216
oct10207732500
92768431360
101109374272
1151a238346
1226b63b000
13148ab37a6
14a749ccb6
15675d874c
hex421fb540

1109374272 has 224 divisors, whose sum is σ = 3448872960. Its totient is φ = 348986880.

The previous prime is 1109374271. The next prime is 1109374289. The reversal of 1109374272 is 2724739011.

1109374272 is a `hidden beast` number, since 1 + 10 + 9 + 374 + 272 = 666.

It is a super-2 number, since 2×11093742722 = 2461422550751059968, which contains 22 as substring.

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 (1109374271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4093497 + ... + 4093767.

Almost surely, 21109374272 is an apocalyptic number.

1109374272 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 1109374272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724436480).

1109374272 is an abundant number, since it is smaller than the sum of its proper divisors (2339498688).

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

1109374272 is a wasteful number, since it uses less digits than its factorization.

1109374272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 1109374272 is about 33307.2705576425. The cubic root of 1109374272 is about 1035.2042109132.

The spelling of 1109374272 in words is "one billion, one hundred nine million, three hundred seventy-four thousand, two hundred seventy-two".