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109372340 = 225711293179
BaseRepresentation
bin1101000010011…
…10001110110100
321121210200122102
412201032032310
5210444403330
614504121232
72465435540
oct641161664
9247720572
10109372340
1156813070
1230766218
131987577c
1410750a20
159906945
hex684e3b4

109372340 has 192 divisors, whose sum is σ = 309657600. Its totient is φ = 31449600.

The previous prime is 109372331. The next prime is 109372343. The reversal of 109372340 is 43273901.

109372340 = T1 + T2 + ... + T868.

109372340 is a nontrivial binomial coefficient, being equal to C(870, 3).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109372343) by changing a digit.

It is the 868-th tetrahedral number.

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 63 ways as a sum of consecutive naturals, for example, 1384421 + ... + 1384499.

It is an arithmetic number, because the mean of its divisors is an integer number (1612800).

Almost surely, 2109372340 is an apocalyptic number.

109372340 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 109372340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154828800).

109372340 is an abundant number, since it is smaller than the sum of its proper divisors (200285260).

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

109372340 is a wasteful number, since it uses less digits than its factorization.

109372340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 109372340 is about 10458.1231585787. The cubic root of 109372340 is about 478.2289187878.

The spelling of 109372340 in words is "one hundred nine million, three hundred seventy-two thousand, three hundred forty".