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1097073138 = 237173134909
BaseRepresentation
bin100000101100100…
…0000000111110010
32211110100002102110
41001121000013302
54221322320023
6300510030150
736120652650
oct10131000762
92743302373
101097073138
115132a6317
122674a8356
13146397705
14a59b9dd0
15664a8a93
hex416401f2

1097073138 has 64 divisors (see below), whose sum is σ = 2664126720. Its totient is φ = 294008832.

The previous prime is 1097073137. The next prime is 1097073151. The reversal of 1097073138 is 8313707901.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1097073096 and 1097073105.

It is not an unprimeable number, because it can be changed into a prime (1097073137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221028 + ... + 225936.

It is an arithmetic number, because the mean of its divisors is an integer number (41626980).

Almost surely, 21097073138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1097073138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332063360).

1097073138 is an abundant number, since it is smaller than the sum of its proper divisors (1567053582).

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

1097073138 is a wasteful number, since it uses less digits than its factorization.

1097073138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5251.

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 1097073138 is about 33122.0944084157. The cubic root of 1097073138 is about 1031.3637442068.

The spelling of 1097073138 in words is "one billion, ninety-seven million, seventy-three thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 313 357 626 714 939 1878 2191 4382 4909 5321 6573 9818 10642 13146 14727 15963 29454 31926 34363 37247 68726 74494 83453 103089 111741 166906 206178 223482 250359 500718 584171 1168342 1536517 1752513 3073034 3505026 4609551 9219102 10755619 21511238 26120789 32266857 52241578 64533714 78362367 156724734 182845523 365691046 548536569 1097073138